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Finding the Fourth Proportional to 3,979.92, 5,968.50 and 1,382.28

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Solution

The fourth proportional to 3,979.92, 5,968.50 and 1,382.28 is: 2,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.92 : 5,968.50 = 1,382.28 : x
  2. Step 2: Convert to fraction form
    3,979.92/5,968.50 = 1,382.28/x
  3. Step 3: Cross multiply
    3,979.92x = 5,968.50 × 1,382.28
  4. Step 4: Simplify right side
    3,979.92x = 8,250,138.18
  5. Step 5: Solve for x
    x = 8,250,138.18/3,979.92
  6. Step 6: Final answer
    x = 2,072.94

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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.