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Finding the Fourth Proportional to 4,131.97, 6,198.02 and 4,125.90

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Solution

The fourth proportional to 4,131.97, 6,198.02 and 4,125.90 is: 6,188.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.97 : 6,198.02 = 4,125.90 : x
  2. Step 2: Convert to fraction form
    4,131.97/6,198.02 = 4,125.90/x
  3. Step 3: Cross multiply
    4,131.97x = 6,198.02 × 4,125.90
  4. Step 4: Simplify right side
    4,131.97x = 25,572,379.73
  5. Step 5: Solve for x
    x = 25,572,379.73/4,131.97
  6. Step 6: Final answer
    x = 6,188.91

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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.