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Finding the Fourth Proportional to 5,337.45, 7,996.46 and 2,414.16

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Solution

The fourth proportional to 5,337.45, 7,996.46 and 2,414.16 is: 3,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.45 : 7,996.46 = 2,414.16 : x
  2. Step 2: Convert to fraction form
    5,337.45/7,996.46 = 2,414.16/x
  3. Step 3: Cross multiply
    5,337.45x = 7,996.46 × 2,414.16
  4. Step 4: Simplify right side
    5,337.45x = 19,304,721.80
  5. Step 5: Solve for x
    x = 19,304,721.80/5,337.45
  6. Step 6: Final answer
    x = 3,616.84

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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.