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Finding the Fourth Proportional to 3,759.69, 5,188.38 and 2,081.17

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Solution

The fourth proportional to 3,759.69, 5,188.38 and 2,081.17 is: 2,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.69 : 5,188.38 = 2,081.17 : x
  2. Step 2: Convert to fraction form
    3,759.69/5,188.38 = 2,081.17/x
  3. Step 3: Cross multiply
    3,759.69x = 5,188.38 × 2,081.17
  4. Step 4: Simplify right side
    3,759.69x = 10,797,900.80
  5. Step 5: Solve for x
    x = 10,797,900.80/3,759.69
  6. Step 6: Final answer
    x = 2,872.02

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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.