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Finding the Fourth Proportional to 5,120.68, 7,681.17 and 2,000.56

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Solution

The fourth proportional to 5,120.68, 7,681.17 and 2,000.56 is: 3,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.68 : 7,681.17 = 2,000.56 : x
  2. Step 2: Convert to fraction form
    5,120.68/7,681.17 = 2,000.56/x
  3. Step 3: Cross multiply
    5,120.68x = 7,681.17 × 2,000.56
  4. Step 4: Simplify right side
    5,120.68x = 15,366,638.53
  5. Step 5: Solve for x
    x = 15,366,638.53/5,120.68
  6. Step 6: Final answer
    x = 3,000.90

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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.