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Finding the Fourth Proportional to 3,874.19, 5,346.29 and 2,105.78

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Solution

The fourth proportional to 3,874.19, 5,346.29 and 2,105.78 is: 2,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.19 : 5,346.29 = 2,105.78 : x
  2. Step 2: Convert to fraction form
    3,874.19/5,346.29 = 2,105.78/x
  3. Step 3: Cross multiply
    3,874.19x = 5,346.29 × 2,105.78
  4. Step 4: Simplify right side
    3,874.19x = 11,258,089.09
  5. Step 5: Solve for x
    x = 11,258,089.09/3,874.19
  6. Step 6: Final answer
    x = 2,905.92

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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.