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Finding the Fourth Proportional to 3,755.82, 5,182.17 and 2,263.20

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Solution

The fourth proportional to 3,755.82, 5,182.17 and 2,263.20 is: 3,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.82 : 5,182.17 = 2,263.20 : x
  2. Step 2: Convert to fraction form
    3,755.82/5,182.17 = 2,263.20/x
  3. Step 3: Cross multiply
    3,755.82x = 5,182.17 × 2,263.20
  4. Step 4: Simplify right side
    3,755.82x = 11,728,287.14
  5. Step 5: Solve for x
    x = 11,728,287.14/3,755.82
  6. Step 6: Final answer
    x = 3,122.70

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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.