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Finding the Fourth Proportional to 3,882.84, 5,823.21 and 2,650.02

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Solution

The fourth proportional to 3,882.84, 5,823.21 and 2,650.02 is: 3,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.84 : 5,823.21 = 2,650.02 : x
  2. Step 2: Convert to fraction form
    3,882.84/5,823.21 = 2,650.02/x
  3. Step 3: Cross multiply
    3,882.84x = 5,823.21 × 2,650.02
  4. Step 4: Simplify right side
    3,882.84x = 15,431,622.96
  5. Step 5: Solve for x
    x = 15,431,622.96/3,882.84
  6. Step 6: Final answer
    x = 3,974.31

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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.