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Finding the Fourth Proportional to 3,876.95, 5,350.25 and 2,108.56

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Solution

The fourth proportional to 3,876.95, 5,350.25 and 2,108.56 is: 2,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.95 : 5,350.25 = 2,108.56 : x
  2. Step 2: Convert to fraction form
    3,876.95/5,350.25 = 2,108.56/x
  3. Step 3: Cross multiply
    3,876.95x = 5,350.25 × 2,108.56
  4. Step 4: Simplify right side
    3,876.95x = 11,281,310.02
  5. Step 5: Solve for x
    x = 11,281,310.02/3,876.95
  6. Step 6: Final answer
    x = 2,909.84

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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.