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Finding the Fourth Proportional to 3,876.98, 5,350.05 and 2,108.57

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Solution

The fourth proportional to 3,876.98, 5,350.05 and 2,108.57 is: 2,909.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.98 : 5,350.05 = 2,108.57 : x
  2. Step 2: Convert to fraction form
    3,876.98/5,350.05 = 2,108.57/x
  3. Step 3: Cross multiply
    3,876.98x = 5,350.05 × 2,108.57
  4. Step 4: Simplify right side
    3,876.98x = 11,280,954.93
  5. Step 5: Solve for x
    x = 11,280,954.93/3,876.98
  6. Step 6: Final answer
    x = 2,909.73

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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.