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Finding the Fourth Proportional to 3,824.78, 5,278.84 and 2,253.84

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Solution

The fourth proportional to 3,824.78, 5,278.84 and 2,253.84 is: 3,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.78 : 5,278.84 = 2,253.84 : x
  2. Step 2: Convert to fraction form
    3,824.78/5,278.84 = 2,253.84/x
  3. Step 3: Cross multiply
    3,824.78x = 5,278.84 × 2,253.84
  4. Step 4: Simplify right side
    3,824.78x = 11,897,660.75
  5. Step 5: Solve for x
    x = 11,897,660.75/3,824.78
  6. Step 6: Final answer
    x = 3,110.68

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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.