Dynamics of critical fluctuations associated with the liquid-gas transition are studied employing the method developed in the previous works of this series. The CDV within which dynamics can be asymptotically closed have been found which correspond to the sound wave modes. However, these CDV are not sufficient to account for all the anomalies (divergences) of the transport coefficients. Rapid random motions also contribute to the divergences through various transport modes, thus leading to partial violation of the dynamical scaling law. The results for the anomalies essentially confirm the work of Kadanoff and Swift. The sound propagation is also studied. In some high frequency regions the sound speed is found to exceed the usual adiabatic value by a constant factor, and the attenuation does not depend upon frequency. The case of the critical mixture is also briefly discussed.