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Finding the Fourth Proportional to 3,766.98, 5,650.41 and 1,169.91

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Solution

The fourth proportional to 3,766.98, 5,650.41 and 1,169.91 is: 1,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.98 : 5,650.41 = 1,169.91 : x
  2. Step 2: Convert to fraction form
    3,766.98/5,650.41 = 1,169.91/x
  3. Step 3: Cross multiply
    3,766.98x = 5,650.41 × 1,169.91
  4. Step 4: Simplify right side
    3,766.98x = 6,610,471.16
  5. Step 5: Solve for x
    x = 6,610,471.16/3,766.98
  6. Step 6: Final answer
    x = 1,754.85

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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.