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Finding the Fourth Proportional to 5,115.90, 7,660.18 and 3,256.95

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Solution

The fourth proportional to 5,115.90, 7,660.18 and 3,256.95 is: 4,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.90 : 7,660.18 = 3,256.95 : x
  2. Step 2: Convert to fraction form
    5,115.90/7,660.18 = 3,256.95/x
  3. Step 3: Cross multiply
    5,115.90x = 7,660.18 × 3,256.95
  4. Step 4: Simplify right side
    5,115.90x = 24,948,815.11
  5. Step 5: Solve for x
    x = 24,948,815.11/5,115.90
  6. Step 6: Final answer
    x = 4,876.72

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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.