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Finding the Fourth Proportional to 3,979.38, 5,494.86 and 3,319.69

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Solution

The fourth proportional to 3,979.38, 5,494.86 and 3,319.69 is: 4,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.38 : 5,494.86 = 3,319.69 : x
  2. Step 2: Convert to fraction form
    3,979.38/5,494.86 = 3,319.69/x
  3. Step 3: Cross multiply
    3,979.38x = 5,494.86 × 3,319.69
  4. Step 4: Simplify right side
    3,979.38x = 18,241,231.79
  5. Step 5: Solve for x
    x = 18,241,231.79/3,979.38
  6. Step 6: Final answer
    x = 4,583.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.