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Finding the Fourth Proportional to 3,878.78, 5,352.78 and 2,110.49

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Solution

The fourth proportional to 3,878.78, 5,352.78 and 2,110.49 is: 2,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.78 : 5,352.78 = 2,110.49 : x
  2. Step 2: Convert to fraction form
    3,878.78/5,352.78 = 2,110.49/x
  3. Step 3: Cross multiply
    3,878.78x = 5,352.78 × 2,110.49
  4. Step 4: Simplify right side
    3,878.78x = 11,296,961.90
  5. Step 5: Solve for x
    x = 11,296,961.90/3,878.78
  6. Step 6: Final answer
    x = 2,912.51

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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.