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Finding the Fourth Proportional to 3,997.57, 5,522.03 and 3,624.97

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Solution

The fourth proportional to 3,997.57, 5,522.03 and 3,624.97 is: 5,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.57 : 5,522.03 = 3,624.97 : x
  2. Step 2: Convert to fraction form
    3,997.57/5,522.03 = 3,624.97/x
  3. Step 3: Cross multiply
    3,997.57x = 5,522.03 × 3,624.97
  4. Step 4: Simplify right side
    3,997.57x = 20,017,193.09
  5. Step 5: Solve for x
    x = 20,017,193.09/3,997.57
  6. Step 6: Final answer
    x = 5,007.34

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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.