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Finding the Fourth Proportional to 5,759.52, 7,940.87 and 3,766.92

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Solution

The fourth proportional to 5,759.52, 7,940.87 and 3,766.92 is: 5,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.52 : 7,940.87 = 3,766.92 : x
  2. Step 2: Convert to fraction form
    5,759.52/7,940.87 = 3,766.92/x
  3. Step 3: Cross multiply
    5,759.52x = 7,940.87 × 3,766.92
  4. Step 4: Simplify right side
    5,759.52x = 29,912,563.48
  5. Step 5: Solve for x
    x = 29,912,563.48/5,759.52
  6. Step 6: Final answer
    x = 5,193.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.