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Finding the Fourth Proportional to 5,324.97, 7,972.41 and 2,820.45

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Solution

The fourth proportional to 5,324.97, 7,972.41 and 2,820.45 is: 4,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.97 : 7,972.41 = 2,820.45 : x
  2. Step 2: Convert to fraction form
    5,324.97/7,972.41 = 2,820.45/x
  3. Step 3: Cross multiply
    5,324.97x = 7,972.41 × 2,820.45
  4. Step 4: Simplify right side
    5,324.97x = 22,485,783.78
  5. Step 5: Solve for x
    x = 22,485,783.78/5,324.97
  6. Step 6: Final answer
    x = 4,222.71

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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.