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Finding the Fourth Proportional to 5,982.34, 8,257 and 3,882.82

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Solution

The fourth proportional to 5,982.34, 8,257 and 3,882.82 is: 5,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.34 : 8,257 = 3,882.82 : x
  2. Step 2: Convert to fraction form
    5,982.34/8,257 = 3,882.82/x
  3. Step 3: Cross multiply
    5,982.34x = 8,257 × 3,882.82
  4. Step 4: Simplify right side
    5,982.34x = 32,060,444.74
  5. Step 5: Solve for x
    x = 32,060,444.74/5,982.34
  6. Step 6: Final answer
    x = 5,359.18

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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.