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Finding the Fourth Proportional to 3,766.75, 5,650.26 and 1,169.62

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Solution

The fourth proportional to 3,766.75, 5,650.26 and 1,169.62 is: 1,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.75 : 5,650.26 = 1,169.62 : x
  2. Step 2: Convert to fraction form
    3,766.75/5,650.26 = 1,169.62/x
  3. Step 3: Cross multiply
    3,766.75x = 5,650.26 × 1,169.62
  4. Step 4: Simplify right side
    3,766.75x = 6,608,657.10
  5. Step 5: Solve for x
    x = 6,608,657.10/3,766.75
  6. Step 6: Final answer
    x = 1,754.47

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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.