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Finding the Fourth Proportional to 3,761.50, 5,190.87 and 2,105.50

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Solution

The fourth proportional to 3,761.50, 5,190.87 and 2,105.50 is: 2,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.50 : 5,190.87 = 2,105.50 : x
  2. Step 2: Convert to fraction form
    3,761.50/5,190.87 = 2,105.50/x
  3. Step 3: Cross multiply
    3,761.50x = 5,190.87 × 2,105.50
  4. Step 4: Simplify right side
    3,761.50x = 10,929,376.79
  5. Step 5: Solve for x
    x = 10,929,376.79/3,761.50
  6. Step 6: Final answer
    x = 2,905.59

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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.