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Finding the Fourth Proportional to 5,100.68, 7,651.38 and 2,136.14

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Solution

The fourth proportional to 5,100.68, 7,651.38 and 2,136.14 is: 3,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.68 : 7,651.38 = 2,136.14 : x
  2. Step 2: Convert to fraction form
    5,100.68/7,651.38 = 2,136.14/x
  3. Step 3: Cross multiply
    5,100.68x = 7,651.38 × 2,136.14
  4. Step 4: Simplify right side
    5,100.68x = 16,344,418.87
  5. Step 5: Solve for x
    x = 16,344,418.87/5,100.68
  6. Step 6: Final answer
    x = 3,204.36

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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.