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Finding the Fourth Proportional to 3,798.21, 5,241.57 and 2,226.33

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Solution

The fourth proportional to 3,798.21, 5,241.57 and 2,226.33 is: 3,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.21 : 5,241.57 = 2,226.33 : x
  2. Step 2: Convert to fraction form
    3,798.21/5,241.57 = 2,226.33/x
  3. Step 3: Cross multiply
    3,798.21x = 5,241.57 × 2,226.33
  4. Step 4: Simplify right side
    3,798.21x = 11,669,464.54
  5. Step 5: Solve for x
    x = 11,669,464.54/3,798.21
  6. Step 6: Final answer
    x = 3,072.36

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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.