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Finding the Fourth Proportional to 3,877.95, 5,351.42 and 2,109.52

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Solution

The fourth proportional to 3,877.95, 5,351.42 and 2,109.52 is: 2,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.95 : 5,351.42 = 2,109.52 : x
  2. Step 2: Convert to fraction form
    3,877.95/5,351.42 = 2,109.52/x
  3. Step 3: Cross multiply
    3,877.95x = 5,351.42 × 2,109.52
  4. Step 4: Simplify right side
    3,877.95x = 11,288,912.56
  5. Step 5: Solve for x
    x = 11,288,912.56/3,877.95
  6. Step 6: Final answer
    x = 2,911.05

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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.