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Finding the Fourth Proportional to 3,107.52, 4,659.82 and 915.82

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Solution

The fourth proportional to 3,107.52, 4,659.82 and 915.82 is: 1,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.52 : 4,659.82 = 915.82 : x
  2. Step 2: Convert to fraction form
    3,107.52/4,659.82 = 915.82/x
  3. Step 3: Cross multiply
    3,107.52x = 4,659.82 × 915.82
  4. Step 4: Simplify right side
    3,107.52x = 4,267,542.41
  5. Step 5: Solve for x
    x = 4,267,542.41/3,107.52
  6. Step 6: Final answer
    x = 1,373.30

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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.