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Finding the Fourth Proportional to 4,098.90, 6,136.20 and 2,713.80

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Solution

The fourth proportional to 4,098.90, 6,136.20 and 2,713.80 is: 4,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.90 : 6,136.20 = 2,713.80 : x
  2. Step 2: Convert to fraction form
    4,098.90/6,136.20 = 2,713.80/x
  3. Step 3: Cross multiply
    4,098.90x = 6,136.20 × 2,713.80
  4. Step 4: Simplify right side
    4,098.90x = 16,652,419.56
  5. Step 5: Solve for x
    x = 16,652,419.56/4,098.90
  6. Step 6: Final answer
    x = 4,062.66

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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.