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Finding the Fourth Proportional to 3,874.06, 5,346.12 and 2,105.65

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Solution

The fourth proportional to 3,874.06, 5,346.12 and 2,105.65 is: 2,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.06 : 5,346.12 = 2,105.65 : x
  2. Step 2: Convert to fraction form
    3,874.06/5,346.12 = 2,105.65/x
  3. Step 3: Cross multiply
    3,874.06x = 5,346.12 × 2,105.65
  4. Step 4: Simplify right side
    3,874.06x = 11,257,057.58
  5. Step 5: Solve for x
    x = 11,257,057.58/3,874.06
  6. Step 6: Final answer
    x = 2,905.75

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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.