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Finding the Fourth Proportional to 4,409.38, 6,614.07 and 2,099.62

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Solution

The fourth proportional to 4,409.38, 6,614.07 and 2,099.62 is: 3,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.38 : 6,614.07 = 2,099.62 : x
  2. Step 2: Convert to fraction form
    4,409.38/6,614.07 = 2,099.62/x
  3. Step 3: Cross multiply
    4,409.38x = 6,614.07 × 2,099.62
  4. Step 4: Simplify right side
    4,409.38x = 13,887,033.65
  5. Step 5: Solve for x
    x = 13,887,033.65/4,409.38
  6. Step 6: Final answer
    x = 3,149.43

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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.