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Finding the Fourth Proportional to 3,238.80, 4,474.68 and 3,078.96

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Solution

The fourth proportional to 3,238.80, 4,474.68 and 3,078.96 is: 4,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.80 : 4,474.68 = 3,078.96 : x
  2. Step 2: Convert to fraction form
    3,238.80/4,474.68 = 3,078.96/x
  3. Step 3: Cross multiply
    3,238.80x = 4,474.68 × 3,078.96
  4. Step 4: Simplify right side
    3,238.80x = 13,777,360.73
  5. Step 5: Solve for x
    x = 13,777,360.73/3,238.80
  6. Step 6: Final answer
    x = 4,253.85

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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.