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Finding the Fourth Proportional to 3,766.24, 5,650.32 and 1,169.20

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Solution

The fourth proportional to 3,766.24, 5,650.32 and 1,169.20 is: 1,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.24 : 5,650.32 = 1,169.20 : x
  2. Step 2: Convert to fraction form
    3,766.24/5,650.32 = 1,169.20/x
  3. Step 3: Cross multiply
    3,766.24x = 5,650.32 × 1,169.20
  4. Step 4: Simplify right side
    3,766.24x = 6,606,354.14
  5. Step 5: Solve for x
    x = 6,606,354.14/3,766.24
  6. Step 6: Final answer
    x = 1,754.10

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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.