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Finding the Fourth Proportional to 3,694.27, 5,101.64 and 3,167.23

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Solution

The fourth proportional to 3,694.27, 5,101.64 and 3,167.23 is: 4,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.27 : 5,101.64 = 3,167.23 : x
  2. Step 2: Convert to fraction form
    3,694.27/5,101.64 = 3,167.23/x
  3. Step 3: Cross multiply
    3,694.27x = 5,101.64 × 3,167.23
  4. Step 4: Simplify right side
    3,694.27x = 16,158,067.26
  5. Step 5: Solve for x
    x = 16,158,067.26/3,694.27
  6. Step 6: Final answer
    x = 4,373.82

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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.