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Finding the Fourth Proportional to 3,591.89, 5,389.45 and 1,644.65

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Solution

The fourth proportional to 3,591.89, 5,389.45 and 1,644.65 is: 2,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.89 : 5,389.45 = 1,644.65 : x
  2. Step 2: Convert to fraction form
    3,591.89/5,389.45 = 1,644.65/x
  3. Step 3: Cross multiply
    3,591.89x = 5,389.45 × 1,644.65
  4. Step 4: Simplify right side
    3,591.89x = 8,863,727.88
  5. Step 5: Solve for x
    x = 8,863,727.88/3,591.89
  6. Step 6: Final answer
    x = 2,467.71

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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.