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Finding the Fourth Proportional to 3,798.24, 5,241.84 and 2,226.48

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Solution

The fourth proportional to 3,798.24, 5,241.84 and 2,226.48 is: 3,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.24 : 5,241.84 = 2,226.48 : x
  2. Step 2: Convert to fraction form
    3,798.24/5,241.84 = 2,226.48/x
  3. Step 3: Cross multiply
    3,798.24x = 5,241.84 × 2,226.48
  4. Step 4: Simplify right side
    3,798.24x = 11,670,851.92
  5. Step 5: Solve for x
    x = 11,670,851.92/3,798.24
  6. Step 6: Final answer
    x = 3,072.70

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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.