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Finding the Fourth Proportional to 3,644.91, 5,467.49 and 1,179.75

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Solution

The fourth proportional to 3,644.91, 5,467.49 and 1,179.75 is: 1,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.91 : 5,467.49 = 1,179.75 : x
  2. Step 2: Convert to fraction form
    3,644.91/5,467.49 = 1,179.75/x
  3. Step 3: Cross multiply
    3,644.91x = 5,467.49 × 1,179.75
  4. Step 4: Simplify right side
    3,644.91x = 6,450,265.43
  5. Step 5: Solve for x
    x = 6,450,265.43/3,644.91
  6. Step 6: Final answer
    x = 1,769.66

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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.