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Finding the Fourth Proportional to 5,983.50, 8,257.14 and 3,331.14

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Solution

The fourth proportional to 5,983.50, 8,257.14 and 3,331.14 is: 4,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.50 : 8,257.14 = 3,331.14 : x
  2. Step 2: Convert to fraction form
    5,983.50/8,257.14 = 3,331.14/x
  3. Step 3: Cross multiply
    5,983.50x = 8,257.14 × 3,331.14
  4. Step 4: Simplify right side
    5,983.50x = 27,505,689.34
  5. Step 5: Solve for x
    x = 27,505,689.34/5,983.50
  6. Step 6: Final answer
    x = 4,596.92

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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.