Hey!
Explanation
Your lack of power at 4K is certainly evidence of either a faulty IMRC/secondary/linkage, or a faulty catalytic converter.
The engine has, as tony stated, what you can consider two "airways" it can use. one, when the secondaries are not opened, is comprised of about half of the possible airways being closed with small round plates attached to a rod.
The smaller total airway creates an increase in torque (to get you going). Once moving, the IMRC "does its thing" and pulls the round plates 90 degrees, allowing air to flow through the other half of the airway as well, thus doubling your volume and creating a surge in horsepower.
Your IMRC is a small silver box underneath the "Duratec" plastic engine cover in the front of the engine (three 7mm bolts).
The IMRC has a connection coming from the PCM (car computer) that tells the IMRC when to "do its thing" (3750ish during normal acceleration and ~3200rpm at WOT[wide.open.throttle])
When instructed to "do its thing" by the PCM, the IMRC pulls on a cable (much like a bicycle brake cable works) and the cable leads down and to what is referred to as a "secondary linkage". this is nothing more than a very tense spring (that holds the secondaries closed.. remember you need that increased torque!!) and a copper/brass colored rod that connects another "bank" or plates. The cable is pulled, compressing that spring, and rotating both of those banks of plates 90 degrees, bumping your HP up. The plates snap back shut if you ever drop below secondary operation RPM.
If your problem is a faulty IMRC, then it would never open the secondaries. This would exhibit symptoms of normal driving any time you are below the secondary operation RPM, but a loss of power (since it isn't opening those plates) at 4K (or so).
Testing:
Firstly, if the IMRC isn't operating (EVER) then you should have a CEL code stored for that. Have the codes pulled. Tony can reference a place that does it for free, even in Canada (which doesn't do it, as the US chains will).
Secondly:
You can see the secondary linkage by looking in to the engine bay from the driver's side. Look underneath the air intake for the linkage rod (copper/brass colored rod)
you can see one of the secondary bank hinges in this picture:
It is to the left of the round TB, between the TB and that black electrical connector. (its round, metal and has a black "rectangle" in the center, in that picture.
you can also get a top down view in this (disassembled version) picture:
Its the bottom right metal hinge. You can also see the "plates" I was talking about in every other hole of the LIM(lower.intake.manifold)
Anyway, rev the car above 4K (audibly) using the black pivot point to the right of the TB (in that first picture) and watch for that rod and those banks/hinges to move towards the firewall(rear) of the engine bay, then move back when you stop revving the car.
Ray