Hello, it seems that you have answering your own question.  The adapter in your link is compatible and working with the 3600 series.
Is it possible to add onboard HDMI to the back panel of a Precision 3600 series (e.g., 3650) that only comes with displayports originally? I see that this could be done with certain other models using this part: [URL] Thanks!
Add On-Board HDMI to 3600 Series?