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Finding the Fourth Proportional to 3,522.72, 5,272.29 and 3,476.10

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Solution

The fourth proportional to 3,522.72, 5,272.29 and 3,476.10 is: 5,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.72 : 5,272.29 = 3,476.10 : x
  2. Step 2: Convert to fraction form
    3,522.72/5,272.29 = 3,476.10/x
  3. Step 3: Cross multiply
    3,522.72x = 5,272.29 × 3,476.10
  4. Step 4: Simplify right side
    3,522.72x = 18,327,007.27
  5. Step 5: Solve for x
    x = 18,327,007.27/3,522.72
  6. Step 6: Final answer
    x = 5,202.52

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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.