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Finding the Fourth Proportional to 3,744.96, 5,613.12 and 2,444.16

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Solution

The fourth proportional to 3,744.96, 5,613.12 and 2,444.16 is: 3,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.96 : 5,613.12 = 2,444.16 : x
  2. Step 2: Convert to fraction form
    3,744.96/5,613.12 = 2,444.16/x
  3. Step 3: Cross multiply
    3,744.96x = 5,613.12 × 2,444.16
  4. Step 4: Simplify right side
    3,744.96x = 13,719,363.38
  5. Step 5: Solve for x
    x = 13,719,363.38/3,744.96
  6. Step 6: Final answer
    x = 3,663.42

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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.