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Finding the Fourth Proportional to 4,163.31, 5,715.27 and 3,572.82

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Solution

The fourth proportional to 4,163.31, 5,715.27 and 3,572.82 is: 4,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.31 : 5,715.27 = 3,572.82 : x
  2. Step 2: Convert to fraction form
    4,163.31/5,715.27 = 3,572.82/x
  3. Step 3: Cross multiply
    4,163.31x = 5,715.27 × 3,572.82
  4. Step 4: Simplify right side
    4,163.31x = 20,419,630.96
  5. Step 5: Solve for x
    x = 20,419,630.96/4,163.31
  6. Step 6: Final answer
    x = 4,904.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.