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Finding the Fourth Proportional to 3,380.25, 5,069.89 and 915.22

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Solution

The fourth proportional to 3,380.25, 5,069.89 and 915.22 is: 1,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.25 : 5,069.89 = 915.22 : x
  2. Step 2: Convert to fraction form
    3,380.25/5,069.89 = 915.22/x
  3. Step 3: Cross multiply
    3,380.25x = 5,069.89 × 915.22
  4. Step 4: Simplify right side
    3,380.25x = 4,640,064.73
  5. Step 5: Solve for x
    x = 4,640,064.73/3,380.25
  6. Step 6: Final answer
    x = 1,372.70

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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.