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Finding the Fourth Proportional to 3,968.38, 5,474.64 and 2,790.22

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Solution

The fourth proportional to 3,968.38, 5,474.64 and 2,790.22 is: 3,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.38 : 5,474.64 = 2,790.22 : x
  2. Step 2: Convert to fraction form
    3,968.38/5,474.64 = 2,790.22/x
  3. Step 3: Cross multiply
    3,968.38x = 5,474.64 × 2,790.22
  4. Step 4: Simplify right side
    3,968.38x = 15,275,450.02
  5. Step 5: Solve for x
    x = 15,275,450.02/3,968.38
  6. Step 6: Final answer
    x = 3,849.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.