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Finding the Fourth Proportional to 3,882.88, 5,345.22 and 2,884.96

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Solution

The fourth proportional to 3,882.88, 5,345.22 and 2,884.96 is: 3,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.88 : 5,345.22 = 2,884.96 : x
  2. Step 2: Convert to fraction form
    3,882.88/5,345.22 = 2,884.96/x
  3. Step 3: Cross multiply
    3,882.88x = 5,345.22 × 2,884.96
  4. Step 4: Simplify right side
    3,882.88x = 15,420,745.89
  5. Step 5: Solve for x
    x = 15,420,745.89/3,882.88
  6. Step 6: Final answer
    x = 3,971.47

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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.