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Finding the Fourth Proportional to 5,324.28, 7,982.04 and 3,684

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Solution

The fourth proportional to 5,324.28, 7,982.04 and 3,684 is: 5,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.28 : 7,982.04 = 3,684 : x
  2. Step 2: Convert to fraction form
    5,324.28/7,982.04 = 3,684/x
  3. Step 3: Cross multiply
    5,324.28x = 7,982.04 × 3,684
  4. Step 4: Simplify right side
    5,324.28x = 29,405,835.36
  5. Step 5: Solve for x
    x = 29,405,835.36/5,324.28
  6. Step 6: Final answer
    x = 5,522.97

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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.