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Finding the Fourth Proportional to 4,177.78, 5,765.87 and 2,743.38

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Solution

The fourth proportional to 4,177.78, 5,765.87 and 2,743.38 is: 3,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.78 : 5,765.87 = 2,743.38 : x
  2. Step 2: Convert to fraction form
    4,177.78/5,765.87 = 2,743.38/x
  3. Step 3: Cross multiply
    4,177.78x = 5,765.87 × 2,743.38
  4. Step 4: Simplify right side
    4,177.78x = 15,817,972.44
  5. Step 5: Solve for x
    x = 15,817,972.44/4,177.78
  6. Step 6: Final answer
    x = 3,786.21

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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.