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Finding the Fourth Proportional to 3,470.38, 5,205.90 and 1,279.16

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Solution

The fourth proportional to 3,470.38, 5,205.90 and 1,279.16 is: 1,918.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.38 : 5,205.90 = 1,279.16 : x
  2. Step 2: Convert to fraction form
    3,470.38/5,205.90 = 1,279.16/x
  3. Step 3: Cross multiply
    3,470.38x = 5,205.90 × 1,279.16
  4. Step 4: Simplify right side
    3,470.38x = 6,659,179.04
  5. Step 5: Solve for x
    x = 6,659,179.04/3,470.38
  6. Step 6: Final answer
    x = 1,918.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.