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Finding the Fourth Proportional to 3,634.44, 5,452.36 and 1,169.88

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Solution

The fourth proportional to 3,634.44, 5,452.36 and 1,169.88 is: 1,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.44 : 5,452.36 = 1,169.88 : x
  2. Step 2: Convert to fraction form
    3,634.44/5,452.36 = 1,169.88/x
  3. Step 3: Cross multiply
    3,634.44x = 5,452.36 × 1,169.88
  4. Step 4: Simplify right side
    3,634.44x = 6,378,606.92
  5. Step 5: Solve for x
    x = 6,378,606.92/3,634.44
  6. Step 6: Final answer
    x = 1,755.05

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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.