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Finding the Fourth Proportional to 3,481.65, 5,222.20 and 1,632.29

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Solution

The fourth proportional to 3,481.65, 5,222.20 and 1,632.29 is: 2,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.65 : 5,222.20 = 1,632.29 : x
  2. Step 2: Convert to fraction form
    3,481.65/5,222.20 = 1,632.29/x
  3. Step 3: Cross multiply
    3,481.65x = 5,222.20 × 1,632.29
  4. Step 4: Simplify right side
    3,481.65x = 8,524,136.68
  5. Step 5: Solve for x
    x = 8,524,136.68/3,481.65
  6. Step 6: Final answer
    x = 2,448.30

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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.