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Finding the Fourth Proportional to 3,877.26, 5,350.50 and 2,108.82

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Solution

The fourth proportional to 3,877.26, 5,350.50 and 2,108.82 is: 2,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.26 : 5,350.50 = 2,108.82 : x
  2. Step 2: Convert to fraction form
    3,877.26/5,350.50 = 2,108.82/x
  3. Step 3: Cross multiply
    3,877.26x = 5,350.50 × 2,108.82
  4. Step 4: Simplify right side
    3,877.26x = 11,283,241.41
  5. Step 5: Solve for x
    x = 11,283,241.41/3,877.26
  6. Step 6: Final answer
    x = 2,910.11

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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.