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Finding the Fourth Proportional to 3,761.75, 5,191.22 and 2,105.75

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Solution

The fourth proportional to 3,761.75, 5,191.22 and 2,105.75 is: 2,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.75 : 5,191.22 = 2,105.75 : x
  2. Step 2: Convert to fraction form
    3,761.75/5,191.22 = 2,105.75/x
  3. Step 3: Cross multiply
    3,761.75x = 5,191.22 × 2,105.75
  4. Step 4: Simplify right side
    3,761.75x = 10,931,411.52
  5. Step 5: Solve for x
    x = 10,931,411.52/3,761.75
  6. Step 6: Final answer
    x = 2,905.94

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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.