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Finding the Fourth Proportional to 5,680.54, 7,839.20 and 3,324.05

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Solution

The fourth proportional to 5,680.54, 7,839.20 and 3,324.05 is: 4,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.54 : 7,839.20 = 3,324.05 : x
  2. Step 2: Convert to fraction form
    5,680.54/7,839.20 = 3,324.05/x
  3. Step 3: Cross multiply
    5,680.54x = 7,839.20 × 3,324.05
  4. Step 4: Simplify right side
    5,680.54x = 26,057,836.94
  5. Step 5: Solve for x
    x = 26,057,836.94/5,680.54
  6. Step 6: Final answer
    x = 4,587.22

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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.