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Finding the Fourth Proportional to 4,305.14, 5,939.63 and 2,734.14

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Solution

The fourth proportional to 4,305.14, 5,939.63 and 2,734.14 is: 3,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.14 : 5,939.63 = 2,734.14 : x
  2. Step 2: Convert to fraction form
    4,305.14/5,939.63 = 2,734.14/x
  3. Step 3: Cross multiply
    4,305.14x = 5,939.63 × 2,734.14
  4. Step 4: Simplify right side
    4,305.14x = 16,239,766.30
  5. Step 5: Solve for x
    x = 16,239,766.30/4,305.14
  6. Step 6: Final answer
    x = 3,772.19

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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.