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Finding the Fourth Proportional to 3,876.94, 5,350.10 and 2,108.52

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Solution

The fourth proportional to 3,876.94, 5,350.10 and 2,108.52 is: 2,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.94 : 5,350.10 = 2,108.52 : x
  2. Step 2: Convert to fraction form
    3,876.94/5,350.10 = 2,108.52/x
  3. Step 3: Cross multiply
    3,876.94x = 5,350.10 × 2,108.52
  4. Step 4: Simplify right side
    3,876.94x = 11,280,792.85
  5. Step 5: Solve for x
    x = 11,280,792.85/3,876.94
  6. Step 6: Final answer
    x = 2,909.72

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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.