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Finding the Fourth Proportional to 4,136.66, 6,198.50 and 3,517.82

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Solution

The fourth proportional to 4,136.66, 6,198.50 and 3,517.82 is: 5,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.66 : 6,198.50 = 3,517.82 : x
  2. Step 2: Convert to fraction form
    4,136.66/6,198.50 = 3,517.82/x
  3. Step 3: Cross multiply
    4,136.66x = 6,198.50 × 3,517.82
  4. Step 4: Simplify right side
    4,136.66x = 21,805,207.27
  5. Step 5: Solve for x
    x = 21,805,207.27/4,136.66
  6. Step 6: Final answer
    x = 5,271.21

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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.