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Finding the Fourth Proportional to 5,468.92, 8,200.32 and 2,545.06

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Solution

The fourth proportional to 5,468.92, 8,200.32 and 2,545.06 is: 3,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.92 : 8,200.32 = 2,545.06 : x
  2. Step 2: Convert to fraction form
    5,468.92/8,200.32 = 2,545.06/x
  3. Step 3: Cross multiply
    5,468.92x = 8,200.32 × 2,545.06
  4. Step 4: Simplify right side
    5,468.92x = 20,870,306.42
  5. Step 5: Solve for x
    x = 20,870,306.42/5,468.92
  6. Step 6: Final answer
    x = 3,816.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.