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Finding the Fourth Proportional to 3,294.27, 4,942.21 and 1,346.48

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Solution

The fourth proportional to 3,294.27, 4,942.21 and 1,346.48 is: 2,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.27 : 4,942.21 = 1,346.48 : x
  2. Step 2: Convert to fraction form
    3,294.27/4,942.21 = 1,346.48/x
  3. Step 3: Cross multiply
    3,294.27x = 4,942.21 × 1,346.48
  4. Step 4: Simplify right side
    3,294.27x = 6,654,586.92
  5. Step 5: Solve for x
    x = 6,654,586.92/3,294.27
  6. Step 6: Final answer
    x = 2,020.05

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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.