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Finding the Fourth Proportional to 5,613.48, 7,734.42 and 3,747.24

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Solution

The fourth proportional to 5,613.48, 7,734.42 and 3,747.24 is: 5,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.48 : 7,734.42 = 3,747.24 : x
  2. Step 2: Convert to fraction form
    5,613.48/7,734.42 = 3,747.24/x
  3. Step 3: Cross multiply
    5,613.48x = 7,734.42 × 3,747.24
  4. Step 4: Simplify right side
    5,613.48x = 28,982,728.00
  5. Step 5: Solve for x
    x = 28,982,728.00/5,613.48
  6. Step 6: Final answer
    x = 5,163.06

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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.