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Finding the Fourth Proportional to 5,792.92, 8,687.67 and 2,505.22

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Solution

The fourth proportional to 5,792.92, 8,687.67 and 2,505.22 is: 3,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.92 : 8,687.67 = 2,505.22 : x
  2. Step 2: Convert to fraction form
    5,792.92/8,687.67 = 2,505.22/x
  3. Step 3: Cross multiply
    5,792.92x = 8,687.67 × 2,505.22
  4. Step 4: Simplify right side
    5,792.92x = 21,764,524.64
  5. Step 5: Solve for x
    x = 21,764,524.64/5,792.92
  6. Step 6: Final answer
    x = 3,757.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.