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Finding the Fourth Proportional to 4,167.43, 5,739.38 and 4,076.71

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Solution

The fourth proportional to 4,167.43, 5,739.38 and 4,076.71 is: 5,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.43 : 5,739.38 = 4,076.71 : x
  2. Step 2: Convert to fraction form
    4,167.43/5,739.38 = 4,076.71/x
  3. Step 3: Cross multiply
    4,167.43x = 5,739.38 × 4,076.71
  4. Step 4: Simplify right side
    4,167.43x = 23,397,759.14
  5. Step 5: Solve for x
    x = 23,397,759.14/4,167.43
  6. Step 6: Final answer
    x = 5,614.44

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