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Finding the Fourth Proportional to 3,279.38, 4,919.38 and 939.46

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Solution

The fourth proportional to 3,279.38, 4,919.38 and 939.46 is: 1,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.38 : 4,919.38 = 939.46 : x
  2. Step 2: Convert to fraction form
    3,279.38/4,919.38 = 939.46/x
  3. Step 3: Cross multiply
    3,279.38x = 4,919.38 × 939.46
  4. Step 4: Simplify right side
    3,279.38x = 4,621,560.73
  5. Step 5: Solve for x
    x = 4,621,560.73/3,279.38
  6. Step 6: Final answer
    x = 1,409.28

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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.