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Finding the Fourth Proportional to 3,986.55, 5,979.11 and 1,520.82

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Solution

The fourth proportional to 3,986.55, 5,979.11 and 1,520.82 is: 2,280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.55 : 5,979.11 = 1,520.82 : x
  2. Step 2: Convert to fraction form
    3,986.55/5,979.11 = 1,520.82/x
  3. Step 3: Cross multiply
    3,986.55x = 5,979.11 × 1,520.82
  4. Step 4: Simplify right side
    3,986.55x = 9,093,142.47
  5. Step 5: Solve for x
    x = 9,093,142.47/3,986.55
  6. Step 6: Final answer
    x = 2,280.96

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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.