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Finding the Fourth Proportional to 3,227.95, 4,454.67 and 2,285.43

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Solution

The fourth proportional to 3,227.95, 4,454.67 and 2,285.43 is: 3,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.95 : 4,454.67 = 2,285.43 : x
  2. Step 2: Convert to fraction form
    3,227.95/4,454.67 = 2,285.43/x
  3. Step 3: Cross multiply
    3,227.95x = 4,454.67 × 2,285.43
  4. Step 4: Simplify right side
    3,227.95x = 10,180,836.46
  5. Step 5: Solve for x
    x = 10,180,836.46/3,227.95
  6. Step 6: Final answer
    x = 3,153.96

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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.