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Finding the Fourth Proportional to 4,695.60, 6,479.90 and 2,542.14

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Solution

The fourth proportional to 4,695.60, 6,479.90 and 2,542.14 is: 3,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.60 : 6,479.90 = 2,542.14 : x
  2. Step 2: Convert to fraction form
    4,695.60/6,479.90 = 2,542.14/x
  3. Step 3: Cross multiply
    4,695.60x = 6,479.90 × 2,542.14
  4. Step 4: Simplify right side
    4,695.60x = 16,472,800.28
  5. Step 5: Solve for x
    x = 16,472,800.28/4,695.60
  6. Step 6: Final answer
    x = 3,508.14

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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.