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Finding the Fourth Proportional to 3,744.75, 5,613.95 and 2,508.38

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Solution

The fourth proportional to 3,744.75, 5,613.95 and 2,508.38 is: 3,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.75 : 5,613.95 = 2,508.38 : x
  2. Step 2: Convert to fraction form
    3,744.75/5,613.95 = 2,508.38/x
  3. Step 3: Cross multiply
    3,744.75x = 5,613.95 × 2,508.38
  4. Step 4: Simplify right side
    3,744.75x = 14,081,898.10
  5. Step 5: Solve for x
    x = 14,081,898.10/3,744.75
  6. Step 6: Final answer
    x = 3,760.44

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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.