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Finding the Fourth Proportional to 4,163.86, 5,738.23 and 2,982.88

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Solution

The fourth proportional to 4,163.86, 5,738.23 and 2,982.88 is: 4,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.86 : 5,738.23 = 2,982.88 : x
  2. Step 2: Convert to fraction form
    4,163.86/5,738.23 = 2,982.88/x
  3. Step 3: Cross multiply
    4,163.86x = 5,738.23 × 2,982.88
  4. Step 4: Simplify right side
    4,163.86x = 17,116,451.50
  5. Step 5: Solve for x
    x = 17,116,451.50/4,163.86
  6. Step 6: Final answer
    x = 4,110.72

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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.