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Finding the Fourth Proportional to 3,761.92, 5,633.16 and 3,344

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Solution

The fourth proportional to 3,761.92, 5,633.16 and 3,344 is: 5,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.92 : 5,633.16 = 3,344 : x
  2. Step 2: Convert to fraction form
    3,761.92/5,633.16 = 3,344/x
  3. Step 3: Cross multiply
    3,761.92x = 5,633.16 × 3,344
  4. Step 4: Simplify right side
    3,761.92x = 18,837,287.04
  5. Step 5: Solve for x
    x = 18,837,287.04/3,761.92
  6. Step 6: Final answer
    x = 5,007.36

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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.