Quick answer probably, it really depends on the requirements of your local state. 3700 ppm sounds high, but it isn't 3700ppm of gas it is 3700 ppm of something. The somethings are the key, some regulatory limits can be 1 ppb and even lower, where others 3700 could be acceptable, especially after a risk based study is performed.
There are thousands of types or remediation processes, I have had good success by combining Soil Vapor Extraction and Air Sparging (basically what the first responder recommended). Right now I am trying several in-situ biological techniques and electrical resistance heating also. Depending on where the contamination is, excavation may be the answer with disposal at an appropriate landfill.
I would recommend discussing the site with someone more experienced in environmental remediation, if you don't know anyone locally I'll try to check back on a more regular basis and would be happy to help.