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Finding the Fourth Proportional to 3,939.93, 5,432.27 and 3,191.13

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Solution

The fourth proportional to 3,939.93, 5,432.27 and 3,191.13 is: 4,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.93 : 5,432.27 = 3,191.13 : x
  2. Step 2: Convert to fraction form
    3,939.93/5,432.27 = 3,191.13/x
  3. Step 3: Cross multiply
    3,939.93x = 5,432.27 × 3,191.13
  4. Step 4: Simplify right side
    3,939.93x = 17,335,063.81
  5. Step 5: Solve for x
    x = 17,335,063.81/3,939.93
  6. Step 6: Final answer
    x = 4,399.84

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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.