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Finding the Fourth Proportional to 4,172.97, 5,757.39 and 2,493.57

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Solution

The fourth proportional to 4,172.97, 5,757.39 and 2,493.57 is: 3,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.97 : 5,757.39 = 2,493.57 : x
  2. Step 2: Convert to fraction form
    4,172.97/5,757.39 = 2,493.57/x
  3. Step 3: Cross multiply
    4,172.97x = 5,757.39 × 2,493.57
  4. Step 4: Simplify right side
    4,172.97x = 14,356,454.98
  5. Step 5: Solve for x
    x = 14,356,454.98/4,172.97
  6. Step 6: Final answer
    x = 3,440.34

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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.