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Finding the Fourth Proportional to 3,979.78, 5,969.65 and 1,382.72

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Solution

The fourth proportional to 3,979.78, 5,969.65 and 1,382.72 is: 2,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.78 : 5,969.65 = 1,382.72 : x
  2. Step 2: Convert to fraction form
    3,979.78/5,969.65 = 1,382.72/x
  3. Step 3: Cross multiply
    3,979.78x = 5,969.65 × 1,382.72
  4. Step 4: Simplify right side
    3,979.78x = 8,254,357.31
  5. Step 5: Solve for x
    x = 8,254,357.31/3,979.78
  6. Step 6: Final answer
    x = 2,074.07

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Why These Related Problems?

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