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Finding the Fourth Proportional to 3,766.56, 5,651.33 and 1,169.70

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Solution

The fourth proportional to 3,766.56, 5,651.33 and 1,169.70 is: 1,755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.56 : 5,651.33 = 1,169.70 : x
  2. Step 2: Convert to fraction form
    3,766.56/5,651.33 = 1,169.70/x
  3. Step 3: Cross multiply
    3,766.56x = 5,651.33 × 1,169.70
  4. Step 4: Simplify right side
    3,766.56x = 6,610,354.85
  5. Step 5: Solve for x
    x = 6,610,354.85/3,766.56
  6. Step 6: Final answer
    x = 1,755.01

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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.