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Finding the Fourth Proportional to 4,609.20, 6,915.96 and 4,531.44

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Solution

The fourth proportional to 4,609.20, 6,915.96 and 4,531.44 is: 6,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.20 : 6,915.96 = 4,531.44 : x
  2. Step 2: Convert to fraction form
    4,609.20/6,915.96 = 4,531.44/x
  3. Step 3: Cross multiply
    4,609.20x = 6,915.96 × 4,531.44
  4. Step 4: Simplify right side
    4,609.20x = 31,339,257.78
  5. Step 5: Solve for x
    x = 31,339,257.78/4,609.20
  6. Step 6: Final answer
    x = 6,799.28

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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.