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Finding the Fourth Proportional to 3,874.17, 5,346.35 and 2,105.77

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Solution

The fourth proportional to 3,874.17, 5,346.35 and 2,105.77 is: 2,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.17 : 5,346.35 = 2,105.77 : x
  2. Step 2: Convert to fraction form
    3,874.17/5,346.35 = 2,105.77/x
  3. Step 3: Cross multiply
    3,874.17x = 5,346.35 × 2,105.77
  4. Step 4: Simplify right side
    3,874.17x = 11,258,183.44
  5. Step 5: Solve for x
    x = 11,258,183.44/3,874.17
  6. Step 6: Final answer
    x = 2,905.96

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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.