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Finding the Fourth Proportional to 3,874.00, 5,346.08 and 2,105.62

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Solution

The fourth proportional to 3,874.00, 5,346.08 and 2,105.62 is: 2,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.00 : 5,346.08 = 2,105.62 : x
  2. Step 2: Convert to fraction form
    3,874.00/5,346.08 = 2,105.62/x
  3. Step 3: Cross multiply
    3,874.00x = 5,346.08 × 2,105.62
  4. Step 4: Simplify right side
    3,874.00x = 11,256,806.09
  5. Step 5: Solve for x
    x = 11,256,806.09/3,874.00
  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.