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Finding the Fourth Proportional to 5,136.93, 7,700.18 and 3,264.20

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Solution

The fourth proportional to 5,136.93, 7,700.18 and 3,264.20 is: 4,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.93 : 7,700.18 = 3,264.20 : x
  2. Step 2: Convert to fraction form
    5,136.93/7,700.18 = 3,264.20/x
  3. Step 3: Cross multiply
    5,136.93x = 7,700.18 × 3,264.20
  4. Step 4: Simplify right side
    5,136.93x = 25,134,930.49
  5. Step 5: Solve for x
    x = 25,134,930.49/5,136.93
  6. Step 6: Final answer
    x = 4,892.98

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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.