[en] The propagating cylindrical dissipative nonlinear shock in dusty four-component nonextensive plasmas with three viscous components (ion and two-polarity charged grains) has been investigated. The three-dimensional cylindrical Burgers equation is obtained. The features of propagating cylindrical shock potentials are studied to becomes a very significantly improved by nonextensive electrons, ion and negative (positive) kinematics viscosity coefficients. Furthermore, the shock strength depends on cylindrical directions. The obtained results may be profitable in understanding both the laboratory and space applications of plasmas. (author)