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Finding the Fourth Proportional to 3,669.26, 5,503.94 and 1,204.27

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Solution

The fourth proportional to 3,669.26, 5,503.94 and 1,204.27 is: 1,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.26 : 5,503.94 = 1,204.27 : x
  2. Step 2: Convert to fraction form
    3,669.26/5,503.94 = 1,204.27/x
  3. Step 3: Cross multiply
    3,669.26x = 5,503.94 × 1,204.27
  4. Step 4: Simplify right side
    3,669.26x = 6,628,229.82
  5. Step 5: Solve for x
    x = 6,628,229.82/3,669.26
  6. Step 6: Final answer
    x = 1,806.42

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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.