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Finding the Fourth Proportional to 3,761.43, 5,190.73 and 2,105.43

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Solution

The fourth proportional to 3,761.43, 5,190.73 and 2,105.43 is: 2,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.43 : 5,190.73 = 2,105.43 : x
  2. Step 2: Convert to fraction form
    3,761.43/5,190.73 = 2,105.43/x
  3. Step 3: Cross multiply
    3,761.43x = 5,190.73 × 2,105.43
  4. Step 4: Simplify right side
    3,761.43x = 10,928,718.66
  5. Step 5: Solve for x
    x = 10,928,718.66/3,761.43
  6. Step 6: Final answer
    x = 2,905.47

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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.