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Finding the Fourth Proportional to 5,023.92, 6,929.16 and 4,457.52

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Solution

The fourth proportional to 5,023.92, 6,929.16 and 4,457.52 is: 6,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.92 : 6,929.16 = 4,457.52 : x
  2. Step 2: Convert to fraction form
    5,023.92/6,929.16 = 4,457.52/x
  3. Step 3: Cross multiply
    5,023.92x = 6,929.16 × 4,457.52
  4. Step 4: Simplify right side
    5,023.92x = 30,886,869.28
  5. Step 5: Solve for x
    x = 30,886,869.28/5,023.92
  6. Step 6: Final answer
    x = 6,147.96

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