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Finding the Fourth Proportional to 5,491.68, 8,234.78 and 2,202.06

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Solution

The fourth proportional to 5,491.68, 8,234.78 and 2,202.06 is: 3,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.68 : 8,234.78 = 2,202.06 : x
  2. Step 2: Convert to fraction form
    5,491.68/8,234.78 = 2,202.06/x
  3. Step 3: Cross multiply
    5,491.68x = 8,234.78 × 2,202.06
  4. Step 4: Simplify right side
    5,491.68x = 18,133,479.65
  5. Step 5: Solve for x
    x = 18,133,479.65/5,491.68
  6. Step 6: Final answer
    x = 3,301.99

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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.