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Finding the Fourth Proportional to 3,874.01, 5,346.09 and 2,105.62

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Solution

The fourth proportional to 3,874.01, 5,346.09 and 2,105.62 is: 2,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.01 : 5,346.09 = 2,105.62 : x
  2. Step 2: Convert to fraction form
    3,874.01/5,346.09 = 2,105.62/x
  3. Step 3: Cross multiply
    3,874.01x = 5,346.09 × 2,105.62
  4. Step 4: Simplify right side
    3,874.01x = 11,256,820.66
  5. Step 5: Solve for x
    x = 11,256,820.66/3,874.01
  6. Step 6: Final answer
    x = 2,905.73

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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.