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Finding the Fourth Proportional to 4,171.57, 5,755.86 and 2,659.71

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Solution

The fourth proportional to 4,171.57, 5,755.86 and 2,659.71 is: 3,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.57 : 5,755.86 = 2,659.71 : x
  2. Step 2: Convert to fraction form
    4,171.57/5,755.86 = 2,659.71/x
  3. Step 3: Cross multiply
    4,171.57x = 5,755.86 × 2,659.71
  4. Step 4: Simplify right side
    4,171.57x = 15,308,918.40
  5. Step 5: Solve for x
    x = 15,308,918.40/4,171.57
  6. Step 6: Final answer
    x = 3,669.82

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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.