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Finding the Fourth Proportional to 4,163.17, 5,737.27 and 2,982.19

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Solution

The fourth proportional to 4,163.17, 5,737.27 and 2,982.19 is: 4,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.17 : 5,737.27 = 2,982.19 : x
  2. Step 2: Convert to fraction form
    4,163.17/5,737.27 = 2,982.19/x
  3. Step 3: Cross multiply
    4,163.17x = 5,737.27 × 2,982.19
  4. Step 4: Simplify right side
    4,163.17x = 17,109,629.22
  5. Step 5: Solve for x
    x = 17,109,629.22/4,163.17
  6. Step 6: Final answer
    x = 4,109.76

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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.