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Finding the Fourth Proportional to 3,892.92, 5,834.04 and 2,505.48

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Solution

The fourth proportional to 3,892.92, 5,834.04 and 2,505.48 is: 3,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.92 : 5,834.04 = 2,505.48 : x
  2. Step 2: Convert to fraction form
    3,892.92/5,834.04 = 2,505.48/x
  3. Step 3: Cross multiply
    3,892.92x = 5,834.04 × 2,505.48
  4. Step 4: Simplify right side
    3,892.92x = 14,617,070.54
  5. Step 5: Solve for x
    x = 14,617,070.54/3,892.92
  6. Step 6: Final answer
    x = 3,754.78

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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.