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Finding the Fourth Proportional to 3,979.65, 5,969.51 and 2,033.22

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Solution

The fourth proportional to 3,979.65, 5,969.51 and 2,033.22 is: 3,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.65 : 5,969.51 = 2,033.22 : x
  2. Step 2: Convert to fraction form
    3,979.65/5,969.51 = 2,033.22/x
  3. Step 3: Cross multiply
    3,979.65x = 5,969.51 × 2,033.22
  4. Step 4: Simplify right side
    3,979.65x = 12,137,327.12
  5. Step 5: Solve for x
    x = 12,137,327.12/3,979.65
  6. Step 6: Final answer
    x = 3,049.85

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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.