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Finding the Fourth Proportional to 4,668.57, 6,442.74 and 2,572.71

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Solution

The fourth proportional to 4,668.57, 6,442.74 and 2,572.71 is: 3,550.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.57 : 6,442.74 = 2,572.71 : x
  2. Step 2: Convert to fraction form
    4,668.57/6,442.74 = 2,572.71/x
  3. Step 3: Cross multiply
    4,668.57x = 6,442.74 × 2,572.71
  4. Step 4: Simplify right side
    4,668.57x = 16,575,301.63
  5. Step 5: Solve for x
    x = 16,575,301.63/4,668.57
  6. Step 6: Final answer
    x = 3,550.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.