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Finding the Fourth Proportional to 3,940.77, 5,438.22 and 2,172.39

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Solution

The fourth proportional to 3,940.77, 5,438.22 and 2,172.39 is: 2,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.77 : 5,438.22 = 2,172.39 : x
  2. Step 2: Convert to fraction form
    3,940.77/5,438.22 = 2,172.39/x
  3. Step 3: Cross multiply
    3,940.77x = 5,438.22 × 2,172.39
  4. Step 4: Simplify right side
    3,940.77x = 11,813,934.75
  5. Step 5: Solve for x
    x = 11,813,934.75/3,940.77
  6. Step 6: Final answer
    x = 2,997.87

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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.