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Finding the Fourth Proportional to 3,744.82, 5,160.96 and 3,001.24

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Solution

The fourth proportional to 3,744.82, 5,160.96 and 3,001.24 is: 4,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.82 : 5,160.96 = 3,001.24 : x
  2. Step 2: Convert to fraction form
    3,744.82/5,160.96 = 3,001.24/x
  3. Step 3: Cross multiply
    3,744.82x = 5,160.96 × 3,001.24
  4. Step 4: Simplify right side
    3,744.82x = 15,489,279.59
  5. Step 5: Solve for x
    x = 15,489,279.59/3,744.82
  6. Step 6: Final answer
    x = 4,136.19

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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.