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Finding the Fourth Proportional to 5,839.09, 8,057.94 and 4,163.41

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Solution

The fourth proportional to 5,839.09, 8,057.94 and 4,163.41 is: 5,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.09 : 8,057.94 = 4,163.41 : x
  2. Step 2: Convert to fraction form
    5,839.09/8,057.94 = 4,163.41/x
  3. Step 3: Cross multiply
    5,839.09x = 8,057.94 × 4,163.41
  4. Step 4: Simplify right side
    5,839.09x = 33,548,507.98
  5. Step 5: Solve for x
    x = 33,548,507.98/5,839.09
  6. Step 6: Final answer
    x = 5,745.51

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1.5x scale

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.