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Finding the Fourth Proportional to 3,282.96, 4,930.31 and 3,150.83

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Solution

The fourth proportional to 3,282.96, 4,930.31 and 3,150.83 is: 4,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.96 : 4,930.31 = 3,150.83 : x
  2. Step 2: Convert to fraction form
    3,282.96/4,930.31 = 3,150.83/x
  3. Step 3: Cross multiply
    3,282.96x = 4,930.31 × 3,150.83
  4. Step 4: Simplify right side
    3,282.96x = 15,534,528.25
  5. Step 5: Solve for x
    x = 15,534,528.25/3,282.96
  6. Step 6: Final answer
    x = 4,731.87

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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.