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Finding the Fourth Proportional to 3,727.29, 5,134.72 and 3,194.49

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Solution

The fourth proportional to 3,727.29, 5,134.72 and 3,194.49 is: 4,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.29 : 5,134.72 = 3,194.49 : x
  2. Step 2: Convert to fraction form
    3,727.29/5,134.72 = 3,194.49/x
  3. Step 3: Cross multiply
    3,727.29x = 5,134.72 × 3,194.49
  4. Step 4: Simplify right side
    3,727.29x = 16,402,791.08
  5. Step 5: Solve for x
    x = 16,402,791.08/3,727.29
  6. Step 6: Final answer
    x = 4,400.73

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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.