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Finding the Fourth Proportional to 3,265.25, 4,889.16 and 2,227.28

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Solution

The fourth proportional to 3,265.25, 4,889.16 and 2,227.28 is: 3,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.25 : 4,889.16 = 2,227.28 : x
  2. Step 2: Convert to fraction form
    3,265.25/4,889.16 = 2,227.28/x
  3. Step 3: Cross multiply
    3,265.25x = 4,889.16 × 2,227.28
  4. Step 4: Simplify right side
    3,265.25x = 10,889,503.84
  5. Step 5: Solve for x
    x = 10,889,503.84/3,265.25
  6. Step 6: Final answer
    x = 3,334.97

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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.