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Finding the Fourth Proportional to 3,877.78, 5,351.23 and 2,263

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Solution

The fourth proportional to 3,877.78, 5,351.23 and 2,263 is: 3,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.78 : 5,351.23 = 2,263 : x
  2. Step 2: Convert to fraction form
    3,877.78/5,351.23 = 2,263/x
  3. Step 3: Cross multiply
    3,877.78x = 5,351.23 × 2,263
  4. Step 4: Simplify right side
    3,877.78x = 12,109,833.49
  5. Step 5: Solve for x
    x = 12,109,833.49/3,877.78
  6. Step 6: Final answer
    x = 3,122.88

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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.