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Finding the Fourth Proportional to 5,872.26, 8,812.20 and 2,543.76

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Solution

The fourth proportional to 5,872.26, 8,812.20 and 2,543.76 is: 3,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.26 : 8,812.20 = 2,543.76 : x
  2. Step 2: Convert to fraction form
    5,872.26/8,812.20 = 2,543.76/x
  3. Step 3: Cross multiply
    5,872.26x = 8,812.20 × 2,543.76
  4. Step 4: Simplify right side
    5,872.26x = 22,416,121.87
  5. Step 5: Solve for x
    x = 22,416,121.87/5,872.26
  6. Step 6: Final answer
    x = 3,817.29

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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.