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Finding the Fourth Proportional to 3,766.97, 5,650.39 and 1,169.91

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Solution

The fourth proportional to 3,766.97, 5,650.39 and 1,169.91 is: 1,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.97 : 5,650.39 = 1,169.91 : x
  2. Step 2: Convert to fraction form
    3,766.97/5,650.39 = 1,169.91/x
  3. Step 3: Cross multiply
    3,766.97x = 5,650.39 × 1,169.91
  4. Step 4: Simplify right side
    3,766.97x = 6,610,449.23
  5. Step 5: Solve for x
    x = 6,610,449.23/3,766.97
  6. Step 6: Final answer
    x = 1,754.84

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