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Finding the Fourth Proportional to 5,414.73, 8,121.39 and 2,296

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Solution

The fourth proportional to 5,414.73, 8,121.39 and 2,296 is: 3,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.73 : 8,121.39 = 2,296 : x
  2. Step 2: Convert to fraction form
    5,414.73/8,121.39 = 2,296/x
  3. Step 3: Cross multiply
    5,414.73x = 8,121.39 × 2,296
  4. Step 4: Simplify right side
    5,414.73x = 18,646,711.44
  5. Step 5: Solve for x
    x = 18,646,711.44/5,414.73
  6. Step 6: Final answer
    x = 3,443.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.