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Finding the Fourth Proportional to 3,422.13, 5,141.84 and 3,283.73

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Solution

The fourth proportional to 3,422.13, 5,141.84 and 3,283.73 is: 4,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.13 : 5,141.84 = 3,283.73 : x
  2. Step 2: Convert to fraction form
    3,422.13/5,141.84 = 3,283.73/x
  3. Step 3: Cross multiply
    3,422.13x = 5,141.84 × 3,283.73
  4. Step 4: Simplify right side
    3,422.13x = 16,884,433.27
  5. Step 5: Solve for x
    x = 16,884,433.27/3,422.13
  6. Step 6: Final answer
    x = 4,933.90

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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.