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Finding the Fourth Proportional to 5,665.46, 7,818.17 and 3,147.53

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Solution

The fourth proportional to 5,665.46, 7,818.17 and 3,147.53 is: 4,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.46 : 7,818.17 = 3,147.53 : x
  2. Step 2: Convert to fraction form
    5,665.46/7,818.17 = 3,147.53/x
  3. Step 3: Cross multiply
    5,665.46x = 7,818.17 × 3,147.53
  4. Step 4: Simplify right side
    5,665.46x = 24,607,952.03
  5. Step 5: Solve for x
    x = 24,607,952.03/5,665.46
  6. Step 6: Final answer
    x = 4,343.51

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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.