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Finding the Fourth Proportional to 3,874.36, 5,346.54 and 2,105.98

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Solution

The fourth proportional to 3,874.36, 5,346.54 and 2,105.98 is: 2,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.36 : 5,346.54 = 2,105.98 : x
  2. Step 2: Convert to fraction form
    3,874.36/5,346.54 = 2,105.98/x
  3. Step 3: Cross multiply
    3,874.36x = 5,346.54 × 2,105.98
  4. Step 4: Simplify right side
    3,874.36x = 11,259,706.31
  5. Step 5: Solve for x
    x = 11,259,706.31/3,874.36
  6. Step 6: Final answer
    x = 2,906.21

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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.