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Finding the Fourth Proportional to 3,743.15, 5,164.76 and 2,149.88

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Solution

The fourth proportional to 3,743.15, 5,164.76 and 2,149.88 is: 2,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.15 : 5,164.76 = 2,149.88 : x
  2. Step 2: Convert to fraction form
    3,743.15/5,164.76 = 2,149.88/x
  3. Step 3: Cross multiply
    3,743.15x = 5,164.76 × 2,149.88
  4. Step 4: Simplify right side
    3,743.15x = 11,103,593.78
  5. Step 5: Solve for x
    x = 11,103,593.78/3,743.15
  6. Step 6: Final answer
    x = 2,966.38

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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.