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Finding the Fourth Proportional to 4,754.75, 7,125.87 and 4,135.55

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Solution

The fourth proportional to 4,754.75, 7,125.87 and 4,135.55 is: 6,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.75 : 7,125.87 = 4,135.55 : x
  2. Step 2: Convert to fraction form
    4,754.75/7,125.87 = 4,135.55/x
  3. Step 3: Cross multiply
    4,754.75x = 7,125.87 × 4,135.55
  4. Step 4: Simplify right side
    4,754.75x = 29,469,391.68
  5. Step 5: Solve for x
    x = 29,469,391.68/4,754.75
  6. Step 6: Final answer
    x = 6,197.88

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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.