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Finding the Fourth Proportional to 3,759.39, 5,187.92 and 2,080.80

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Solution

The fourth proportional to 3,759.39, 5,187.92 and 2,080.80 is: 2,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.39 : 5,187.92 = 2,080.80 : x
  2. Step 2: Convert to fraction form
    3,759.39/5,187.92 = 2,080.80/x
  3. Step 3: Cross multiply
    3,759.39x = 5,187.92 × 2,080.80
  4. Step 4: Simplify right side
    3,759.39x = 10,795,013.53
  5. Step 5: Solve for x
    x = 10,795,013.53/3,759.39
  6. Step 6: Final answer
    x = 2,871.48

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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.