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Finding the Fourth Proportional to 4,163.92, 5,748.02 and 2,906.80

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Solution

The fourth proportional to 4,163.92, 5,748.02 and 2,906.80 is: 4,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.92 : 5,748.02 = 2,906.80 : x
  2. Step 2: Convert to fraction form
    4,163.92/5,748.02 = 2,906.80/x
  3. Step 3: Cross multiply
    4,163.92x = 5,748.02 × 2,906.80
  4. Step 4: Simplify right side
    4,163.92x = 16,708,344.54
  5. Step 5: Solve for x
    x = 16,708,344.54/4,163.92
  6. Step 6: Final answer
    x = 4,012.65

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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.