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Finding the Fourth Proportional to 3,744.49, 5,616.53 and 1,147.43

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Solution

The fourth proportional to 3,744.49, 5,616.53 and 1,147.43 is: 1,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.49 : 5,616.53 = 1,147.43 : x
  2. Step 2: Convert to fraction form
    3,744.49/5,616.53 = 1,147.43/x
  3. Step 3: Cross multiply
    3,744.49x = 5,616.53 × 1,147.43
  4. Step 4: Simplify right side
    3,744.49x = 6,444,575.02
  5. Step 5: Solve for x
    x = 6,444,575.02/3,744.49
  6. Step 6: Final answer
    x = 1,721.08

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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.