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Finding the Fourth Proportional to 3,270.36, 4,906.14 and 1,079.24

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Solution

The fourth proportional to 3,270.36, 4,906.14 and 1,079.24 is: 1,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.36 : 4,906.14 = 1,079.24 : x
  2. Step 2: Convert to fraction form
    3,270.36/4,906.14 = 1,079.24/x
  3. Step 3: Cross multiply
    3,270.36x = 4,906.14 × 1,079.24
  4. Step 4: Simplify right side
    3,270.36x = 5,294,902.53
  5. Step 5: Solve for x
    x = 5,294,902.53/3,270.36
  6. Step 6: Final answer
    x = 1,619.06

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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.