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Finding the Fourth Proportional to 3,278.54, 4,520.28 and 2,228.78

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Solution

The fourth proportional to 3,278.54, 4,520.28 and 2,228.78 is: 3,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.54 : 4,520.28 = 2,228.78 : x
  2. Step 2: Convert to fraction form
    3,278.54/4,520.28 = 2,228.78/x
  3. Step 3: Cross multiply
    3,278.54x = 4,520.28 × 2,228.78
  4. Step 4: Simplify right side
    3,278.54x = 10,074,709.66
  5. Step 5: Solve for x
    x = 10,074,709.66/3,278.54
  6. Step 6: Final answer
    x = 3,072.93

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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.