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Finding the Fourth Proportional to 3,227.24, 4,837.19 and 1,468.33

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Solution

The fourth proportional to 3,227.24, 4,837.19 and 1,468.33 is: 2,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.24 : 4,837.19 = 1,468.33 : x
  2. Step 2: Convert to fraction form
    3,227.24/4,837.19 = 1,468.33/x
  3. Step 3: Cross multiply
    3,227.24x = 4,837.19 × 1,468.33
  4. Step 4: Simplify right side
    3,227.24x = 7,102,571.76
  5. Step 5: Solve for x
    x = 7,102,571.76/3,227.24
  6. Step 6: Final answer
    x = 2,200.82

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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.