  We report the results of a new Rosenbluth measurement of the proton form
factors at Q^2 values of 2.64, 3.20 and 4.10 GeV^2. Cross sections were
determined by detecting the recoiling proton in contrast to previous
measurements in which the scattered electron was detected. At each Q^2,
relative cross sections were determined to better than 1%. The measurement
focussed on the extraction of G_E/G_M which was determined to 4-8% and found to
approximate form factor scaling, i.e. \mu_p G_E \approx G_M. These results are
consistent with and much more precise than previous Rosenbluth extractions.
However, they are inconsistent with recent polarization transfer measurements
of comparable precision, implying a systematic difference between the two
techniques.
