Ragtime progression

The ragtime progression is a chord progression common in ragtime music. It's a chain of secondary dominants in a circle of fifths.¹

$$V^7/V/V/V \;\; | \;\; V^7/V/V \;\; | \;\; V^7/V \;\; | \;\; V^7 \;\; | \;\; I$$

or basically:

$$III^7 \;\; | \;\; VI^7 \;\; | \;\; II^7 \;\; | \;\; V7 \;\; | \;\; I$$

It's a kind of sequential progression.