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Finding the Fourth Proportional to 3,255.21, 4,882.29 and 915.38

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Solution

The fourth proportional to 3,255.21, 4,882.29 and 915.38 is: 1,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.21 : 4,882.29 = 915.38 : x
  2. Step 2: Convert to fraction form
    3,255.21/4,882.29 = 915.38/x
  3. Step 3: Cross multiply
    3,255.21x = 4,882.29 × 915.38
  4. Step 4: Simplify right side
    3,255.21x = 4,469,150.62
  5. Step 5: Solve for x
    x = 4,469,150.62/3,255.21
  6. Step 6: Final answer
    x = 1,372.92

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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.