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Finding the Fourth Proportional to 3,279.80, 4,918.96 and 939.76

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Solution

The fourth proportional to 3,279.80, 4,918.96 and 939.76 is: 1,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.80 : 4,918.96 = 939.76 : x
  2. Step 2: Convert to fraction form
    3,279.80/4,918.96 = 939.76/x
  3. Step 3: Cross multiply
    3,279.80x = 4,918.96 × 939.76
  4. Step 4: Simplify right side
    3,279.80x = 4,622,641.85
  5. Step 5: Solve for x
    x = 4,622,641.85/3,279.80
  6. Step 6: Final answer
    x = 1,409.43

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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.