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Finding the Fourth Proportional to 3,896.97, 5,370.87 and 2,950.50

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Solution

The fourth proportional to 3,896.97, 5,370.87 and 2,950.50 is: 4,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.97 : 5,370.87 = 2,950.50 : x
  2. Step 2: Convert to fraction form
    3,896.97/5,370.87 = 2,950.50/x
  3. Step 3: Cross multiply
    3,896.97x = 5,370.87 × 2,950.50
  4. Step 4: Simplify right side
    3,896.97x = 15,846,743.14
  5. Step 5: Solve for x
    x = 15,846,743.14/3,896.97
  6. Step 6: Final answer
    x = 4,066.43

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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.