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Finding the Fourth Proportional to 4,131.70, 6,198.90 and 1,358.26

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Solution

The fourth proportional to 4,131.70, 6,198.90 and 1,358.26 is: 2,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.70 : 6,198.90 = 1,358.26 : x
  2. Step 2: Convert to fraction form
    4,131.70/6,198.90 = 1,358.26/x
  3. Step 3: Cross multiply
    4,131.70x = 6,198.90 × 1,358.26
  4. Step 4: Simplify right side
    4,131.70x = 8,419,717.91
  5. Step 5: Solve for x
    x = 8,419,717.91/4,131.70
  6. Step 6: Final answer
    x = 2,037.83

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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.