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Finding the Fourth Proportional to 4,170.73, 5,755.04 and 2,491.78

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Solution

The fourth proportional to 4,170.73, 5,755.04 and 2,491.78 is: 3,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.73 : 5,755.04 = 2,491.78 : x
  2. Step 2: Convert to fraction form
    4,170.73/5,755.04 = 2,491.78/x
  3. Step 3: Cross multiply
    4,170.73x = 5,755.04 × 2,491.78
  4. Step 4: Simplify right side
    4,170.73x = 14,340,292.25
  5. Step 5: Solve for x
    x = 14,340,292.25/4,170.73
  6. Step 6: Final answer
    x = 3,438.32

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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.