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Finding the Fourth Proportional to 4,224.54, 5,826.60 and 3,227.34

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Solution

The fourth proportional to 4,224.54, 5,826.60 and 3,227.34 is: 4,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.54 : 5,826.60 = 3,227.34 : x
  2. Step 2: Convert to fraction form
    4,224.54/5,826.60 = 3,227.34/x
  3. Step 3: Cross multiply
    4,224.54x = 5,826.60 × 3,227.34
  4. Step 4: Simplify right side
    4,224.54x = 18,804,419.24
  5. Step 5: Solve for x
    x = 18,804,419.24/4,224.54
  6. Step 6: Final answer
    x = 4,451.23

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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.