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Finding the Fourth Proportional to 3,847.38, 5,309.67 and 2,168.94

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Solution

The fourth proportional to 3,847.38, 5,309.67 and 2,168.94 is: 2,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.38 : 5,309.67 = 2,168.94 : x
  2. Step 2: Convert to fraction form
    3,847.38/5,309.67 = 2,168.94/x
  3. Step 3: Cross multiply
    3,847.38x = 5,309.67 × 2,168.94
  4. Step 4: Simplify right side
    3,847.38x = 11,516,355.65
  5. Step 5: Solve for x
    x = 11,516,355.65/3,847.38
  6. Step 6: Final answer
    x = 2,993.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.