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Finding the Fourth Proportional to 3,634.92, 5,451.23 and 1,169.15

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Solution

The fourth proportional to 3,634.92, 5,451.23 and 1,169.15 is: 1,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.92 : 5,451.23 = 1,169.15 : x
  2. Step 2: Convert to fraction form
    3,634.92/5,451.23 = 1,169.15/x
  3. Step 3: Cross multiply
    3,634.92x = 5,451.23 × 1,169.15
  4. Step 4: Simplify right side
    3,634.92x = 6,373,272.45
  5. Step 5: Solve for x
    x = 6,373,272.45/3,634.92
  6. Step 6: Final answer
    x = 1,753.35

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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.