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Finding the Fourth Proportional to 4,900.92, 7,344.18 and 3,863.46

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Solution

The fourth proportional to 4,900.92, 7,344.18 and 3,863.46 is: 5,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.92 : 7,344.18 = 3,863.46 : x
  2. Step 2: Convert to fraction form
    4,900.92/7,344.18 = 3,863.46/x
  3. Step 3: Cross multiply
    4,900.92x = 7,344.18 × 3,863.46
  4. Step 4: Simplify right side
    4,900.92x = 28,373,945.66
  5. Step 5: Solve for x
    x = 28,373,945.66/4,900.92
  6. Step 6: Final answer
    x = 5,789.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.