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Finding the Fourth Proportional to 3,847.43, 5,309.14 and 2,169.25

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Solution

The fourth proportional to 3,847.43, 5,309.14 and 2,169.25 is: 2,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.43 : 5,309.14 = 2,169.25 : x
  2. Step 2: Convert to fraction form
    3,847.43/5,309.14 = 2,169.25/x
  3. Step 3: Cross multiply
    3,847.43x = 5,309.14 × 2,169.25
  4. Step 4: Simplify right side
    3,847.43x = 11,516,865.22
  5. Step 5: Solve for x
    x = 11,516,865.22/3,847.43
  6. Step 6: Final answer
    x = 2,993.39

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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.