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Finding the Fourth Proportional to 5,238.27, 7,228.73 and 2,848.27

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Solution

The fourth proportional to 5,238.27, 7,228.73 and 2,848.27 is: 3,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.27 : 7,228.73 = 2,848.27 : x
  2. Step 2: Convert to fraction form
    5,238.27/7,228.73 = 2,848.27/x
  3. Step 3: Cross multiply
    5,238.27x = 7,228.73 × 2,848.27
  4. Step 4: Simplify right side
    5,238.27x = 20,589,324.41
  5. Step 5: Solve for x
    x = 20,589,324.41/5,238.27
  6. Step 6: Final answer
    x = 3,930.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.