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Finding the Fourth Proportional to 3,502.72, 5,257.32 and 1,772.56

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Solution

The fourth proportional to 3,502.72, 5,257.32 and 1,772.56 is: 2,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.72 : 5,257.32 = 1,772.56 : x
  2. Step 2: Convert to fraction form
    3,502.72/5,257.32 = 1,772.56/x
  3. Step 3: Cross multiply
    3,502.72x = 5,257.32 × 1,772.56
  4. Step 4: Simplify right side
    3,502.72x = 9,318,915.14
  5. Step 5: Solve for x
    x = 9,318,915.14/3,502.72
  6. Step 6: Final answer
    x = 2,660.48

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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.