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Finding the Fourth Proportional to 6,163.31, 8,505.38 and 3,809.57

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Solution

The fourth proportional to 6,163.31, 8,505.38 and 3,809.57 is: 5,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.31 : 8,505.38 = 3,809.57 : x
  2. Step 2: Convert to fraction form
    6,163.31/8,505.38 = 3,809.57/x
  3. Step 3: Cross multiply
    6,163.31x = 8,505.38 × 3,809.57
  4. Step 4: Simplify right side
    6,163.31x = 32,401,807.48
  5. Step 5: Solve for x
    x = 32,401,807.48/6,163.31
  6. Step 6: Final answer
    x = 5,257.21

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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.