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Finding the Fourth Proportional to 3,270.56, 4,906.14 and 1,049.46

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Solution

The fourth proportional to 3,270.56, 4,906.14 and 1,049.46 is: 1,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.56 : 4,906.14 = 1,049.46 : x
  2. Step 2: Convert to fraction form
    3,270.56/4,906.14 = 1,049.46/x
  3. Step 3: Cross multiply
    3,270.56x = 4,906.14 × 1,049.46
  4. Step 4: Simplify right side
    3,270.56x = 5,148,797.68
  5. Step 5: Solve for x
    x = 5,148,797.68/3,270.56
  6. Step 6: Final answer
    x = 1,574.29

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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.