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Finding the Fourth Proportional to 5,160.83, 7,744.31 and 1,874.17

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Solution

The fourth proportional to 5,160.83, 7,744.31 and 1,874.17 is: 2,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.83 : 7,744.31 = 1,874.17 : x
  2. Step 2: Convert to fraction form
    5,160.83/7,744.31 = 1,874.17/x
  3. Step 3: Cross multiply
    5,160.83x = 7,744.31 × 1,874.17
  4. Step 4: Simplify right side
    5,160.83x = 14,514,105.38
  5. Step 5: Solve for x
    x = 14,514,105.38/5,160.83
  6. Step 6: Final answer
    x = 2,812.36

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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.