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Finding the Fourth Proportional to 4,742.68, 6,545.10 and 2,753.68

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Solution

The fourth proportional to 4,742.68, 6,545.10 and 2,753.68 is: 3,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.68 : 6,545.10 = 2,753.68 : x
  2. Step 2: Convert to fraction form
    4,742.68/6,545.10 = 2,753.68/x
  3. Step 3: Cross multiply
    4,742.68x = 6,545.10 × 2,753.68
  4. Step 4: Simplify right side
    4,742.68x = 18,023,110.97
  5. Step 5: Solve for x
    x = 18,023,110.97/4,742.68
  6. Step 6: Final answer
    x = 3,800.20

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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.