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Finding the Fourth Proportional to 5,324.71, 7,982.42 and 2,202.77

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Solution

The fourth proportional to 5,324.71, 7,982.42 and 2,202.77 is: 3,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.71 : 7,982.42 = 2,202.77 : x
  2. Step 2: Convert to fraction form
    5,324.71/7,982.42 = 2,202.77/x
  3. Step 3: Cross multiply
    5,324.71x = 7,982.42 × 2,202.77
  4. Step 4: Simplify right side
    5,324.71x = 17,583,435.30
  5. Step 5: Solve for x
    x = 17,583,435.30/5,324.71
  6. Step 6: Final answer
    x = 3,302.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.