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Finding the Fourth Proportional to 3,967.43, 5,952.06 and 2,120.33

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Solution

The fourth proportional to 3,967.43, 5,952.06 and 2,120.33 is: 3,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.43 : 5,952.06 = 2,120.33 : x
  2. Step 2: Convert to fraction form
    3,967.43/5,952.06 = 2,120.33/x
  3. Step 3: Cross multiply
    3,967.43x = 5,952.06 × 2,120.33
  4. Step 4: Simplify right side
    3,967.43x = 12,620,306.82
  5. Step 5: Solve for x
    x = 12,620,306.82/3,967.43
  6. Step 6: Final answer
    x = 3,180.98

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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.