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Finding the Fourth Proportional to 4,766.92, 7,144.80 and 2,687.92

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Solution

The fourth proportional to 4,766.92, 7,144.80 and 2,687.92 is: 4,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.92 : 7,144.80 = 2,687.92 : x
  2. Step 2: Convert to fraction form
    4,766.92/7,144.80 = 2,687.92/x
  3. Step 3: Cross multiply
    4,766.92x = 7,144.80 × 2,687.92
  4. Step 4: Simplify right side
    4,766.92x = 19,204,650.82
  5. Step 5: Solve for x
    x = 19,204,650.82/4,766.92
  6. Step 6: Final answer
    x = 4,028.73

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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.