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Finding the Fourth Proportional to 5,545.86, 7,646.37 and 3,553.14

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Solution

The fourth proportional to 5,545.86, 7,646.37 and 3,553.14 is: 4,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.86 : 7,646.37 = 3,553.14 : x
  2. Step 2: Convert to fraction form
    5,545.86/7,646.37 = 3,553.14/x
  3. Step 3: Cross multiply
    5,545.86x = 7,646.37 × 3,553.14
  4. Step 4: Simplify right side
    5,545.86x = 27,168,623.10
  5. Step 5: Solve for x
    x = 27,168,623.10/5,545.86
  6. Step 6: Final answer
    x = 4,898.90

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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.