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Finding the Fourth Proportional to 5,220.69, 7,204.49 and 2,982.55

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Solution

The fourth proportional to 5,220.69, 7,204.49 and 2,982.55 is: 4,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.69 : 7,204.49 = 2,982.55 : x
  2. Step 2: Convert to fraction form
    5,220.69/7,204.49 = 2,982.55/x
  3. Step 3: Cross multiply
    5,220.69x = 7,204.49 × 2,982.55
  4. Step 4: Simplify right side
    5,220.69x = 21,487,718.73
  5. Step 5: Solve for x
    x = 21,487,718.73/5,220.69
  6. Step 6: Final answer
    x = 4,115.88

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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.