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Finding the Fourth Proportional to 4,163.36, 5,737.53 and 2,982.38

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Solution

The fourth proportional to 4,163.36, 5,737.53 and 2,982.38 is: 4,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.36 : 5,737.53 = 2,982.38 : x
  2. Step 2: Convert to fraction form
    4,163.36/5,737.53 = 2,982.38/x
  3. Step 3: Cross multiply
    4,163.36x = 5,737.53 × 2,982.38
  4. Step 4: Simplify right side
    4,163.36x = 17,111,494.72
  5. Step 5: Solve for x
    x = 17,111,494.72/4,163.36
  6. Step 6: Final answer
    x = 4,110.02

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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.