New measurements of the cosmic background radiation (CBR) intensity at 4.75 GHz (6.3 cm), made as a part of a large experiment to measure the CBR spectrum between 2.5 and 90 GHz, are reported. The present result, T(CBR) = 2.70 + or - 0.07 K, agrees with, but is substantially more accurate than, that previously reported by Mandolesi et al. (1984). Careful new observations of the emission from the atmosphere and from the Galaxy are also presented and discussed.