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Finding the Fourth Proportional to 3,874.40, 5,346.62 and 2,105.96

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Solution

The fourth proportional to 3,874.40, 5,346.62 and 2,105.96 is: 2,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.40 : 5,346.62 = 2,105.96 : x
  2. Step 2: Convert to fraction form
    3,874.40/5,346.62 = 2,105.96/x
  3. Step 3: Cross multiply
    3,874.40x = 5,346.62 × 2,105.96
  4. Step 4: Simplify right side
    3,874.40x = 11,259,767.86
  5. Step 5: Solve for x
    x = 11,259,767.86/3,874.40
  6. Step 6: Final answer
    x = 2,906.20

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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.