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Finding the Fourth Proportional to 3,874.29, 5,346.51 and 2,105.90

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Solution

The fourth proportional to 3,874.29, 5,346.51 and 2,105.90 is: 2,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.29 : 5,346.51 = 2,105.90 : x
  2. Step 2: Convert to fraction form
    3,874.29/5,346.51 = 2,105.90/x
  3. Step 3: Cross multiply
    3,874.29x = 5,346.51 × 2,105.90
  4. Step 4: Simplify right side
    3,874.29x = 11,259,204.88
  5. Step 5: Solve for x
    x = 11,259,204.88/3,874.29
  6. Step 6: Final answer
    x = 2,906.13

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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.