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Finding the Fourth Proportional to 3,763.85, 5,194.29 and 2,170.73

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Solution

The fourth proportional to 3,763.85, 5,194.29 and 2,170.73 is: 2,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.85 : 5,194.29 = 2,170.73 : x
  2. Step 2: Convert to fraction form
    3,763.85/5,194.29 = 2,170.73/x
  3. Step 3: Cross multiply
    3,763.85x = 5,194.29 × 2,170.73
  4. Step 4: Simplify right side
    3,763.85x = 11,275,401.13
  5. Step 5: Solve for x
    x = 11,275,401.13/3,763.85
  6. Step 6: Final answer
    x = 2,995.71

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