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Finding the Fourth Proportional to 3,634.42, 5,452.02 and 1,169.62

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Solution

The fourth proportional to 3,634.42, 5,452.02 and 1,169.62 is: 1,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.42 : 5,452.02 = 1,169.62 : x
  2. Step 2: Convert to fraction form
    3,634.42/5,452.02 = 1,169.62/x
  3. Step 3: Cross multiply
    3,634.42x = 5,452.02 × 1,169.62
  4. Step 4: Simplify right side
    3,634.42x = 6,376,791.63
  5. Step 5: Solve for x
    x = 6,376,791.63/3,634.42
  6. Step 6: Final answer
    x = 1,754.56

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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.