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Finding the Fourth Proportional to 5,967.22, 8,238.54 and 3,843.56

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Solution

The fourth proportional to 5,967.22, 8,238.54 and 3,843.56 is: 5,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.22 : 8,238.54 = 3,843.56 : x
  2. Step 2: Convert to fraction form
    5,967.22/8,238.54 = 3,843.56/x
  3. Step 3: Cross multiply
    5,967.22x = 8,238.54 × 3,843.56
  4. Step 4: Simplify right side
    5,967.22x = 31,665,322.80
  5. Step 5: Solve for x
    x = 31,665,322.80/5,967.22
  6. Step 6: Final answer
    x = 5,306.55

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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.