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Finding the Fourth Proportional to 3,922.37, 5,882.02 and 1,422.96

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Solution

The fourth proportional to 3,922.37, 5,882.02 and 1,422.96 is: 2,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.37 : 5,882.02 = 1,422.96 : x
  2. Step 2: Convert to fraction form
    3,922.37/5,882.02 = 1,422.96/x
  3. Step 3: Cross multiply
    3,922.37x = 5,882.02 × 1,422.96
  4. Step 4: Simplify right side
    3,922.37x = 8,369,879.18
  5. Step 5: Solve for x
    x = 8,369,879.18/3,922.37
  6. Step 6: Final answer
    x = 2,133.88

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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.