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Finding the Fourth Proportional to 4,125.98, 6,177.90 and 3,469.88

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Solution

The fourth proportional to 4,125.98, 6,177.90 and 3,469.88 is: 5,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.98 : 6,177.90 = 3,469.88 : x
  2. Step 2: Convert to fraction form
    4,125.98/6,177.90 = 3,469.88/x
  3. Step 3: Cross multiply
    4,125.98x = 6,177.90 × 3,469.88
  4. Step 4: Simplify right side
    4,125.98x = 21,436,571.65
  5. Step 5: Solve for x
    x = 21,436,571.65/4,125.98
  6. Step 6: Final answer
    x = 5,195.51

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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.