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Finding the Fourth Proportional to 3,877.75, 5,351.25 and 2,109.33

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Solution

The fourth proportional to 3,877.75, 5,351.25 and 2,109.33 is: 2,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.75 : 5,351.25 = 2,109.33 : x
  2. Step 2: Convert to fraction form
    3,877.75/5,351.25 = 2,109.33/x
  3. Step 3: Cross multiply
    3,877.75x = 5,351.25 × 2,109.33
  4. Step 4: Simplify right side
    3,877.75x = 11,287,552.16
  5. Step 5: Solve for x
    x = 11,287,552.16/3,877.75
  6. Step 6: Final answer
    x = 2,910.85

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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.