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Finding the Fourth Proportional to 3,759.91, 5,188.68 and 2,081.43

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Solution

The fourth proportional to 3,759.91, 5,188.68 and 2,081.43 is: 2,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.91 : 5,188.68 = 2,081.43 : x
  2. Step 2: Convert to fraction form
    3,759.91/5,188.68 = 2,081.43/x
  3. Step 3: Cross multiply
    3,759.91x = 5,188.68 × 2,081.43
  4. Step 4: Simplify right side
    3,759.91x = 10,799,874.21
  5. Step 5: Solve for x
    x = 10,799,874.21/3,759.91
  6. Step 6: Final answer
    x = 2,872.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.