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Finding the Fourth Proportional to 3,380.95, 5,067.98 and 2,285.43

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Solution

The fourth proportional to 3,380.95, 5,067.98 and 2,285.43 is: 3,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.95 : 5,067.98 = 2,285.43 : x
  2. Step 2: Convert to fraction form
    3,380.95/5,067.98 = 2,285.43/x
  3. Step 3: Cross multiply
    3,380.95x = 5,067.98 × 2,285.43
  4. Step 4: Simplify right side
    3,380.95x = 11,582,513.53
  5. Step 5: Solve for x
    x = 11,582,513.53/3,380.95
  6. Step 6: Final answer
    x = 3,425.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.