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Finding the Fourth Proportional to 5,972.46, 8,244.26 and 3,982.29

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Solution

The fourth proportional to 5,972.46, 8,244.26 and 3,982.29 is: 5,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.46 : 8,244.26 = 3,982.29 : x
  2. Step 2: Convert to fraction form
    5,972.46/8,244.26 = 3,982.29/x
  3. Step 3: Cross multiply
    5,972.46x = 8,244.26 × 3,982.29
  4. Step 4: Simplify right side
    5,972.46x = 32,831,034.16
  5. Step 5: Solve for x
    x = 32,831,034.16/5,972.46
  6. Step 6: Final answer
    x = 5,497.07

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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.