This is the third paper in a series aimed at finding high-redshift quasars from five-color (u'g'r'i'z') imaging data taken along the celestial equator by the Sloan Digital Sky Survey (SDSS) during its commissioning phase. In this paper, we first present the observations of 14 bright, high-redshift quasars (3.66<=z<=4.77, i*<~20) discovered in the SDSS fall equatorial stripe, and the SDSS photometry of two previously known high-redshift quasars in the same region of the sky. Combined with the quasars presented in Paper I (1999AJ....118....1F) and by Schneider et al. (2001AJ....121.1232S), we define a color-selected flux-limited sample of 39 quasars at 3.6<z<5.0 and i*<~20, covering a total effective area of 182deg^2^. From this sample, we estimate the average spectral power-law slope in the rest-frame UV for quasars at z~4 to be -0.79 with a standard deviation of 0.34, and the average rest-frame equivalent width of the Ly{alpha}+N V emission line to be 69{AA} with a standard deviation of 18{AA}. Based on observations obtained with the Sloan Digital Sky Survey, with the Apache Point Observatory 3.5m telescope.