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Finding the Fourth Proportional to 3,999.49, 5,999.82 and 1,226.38

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Solution

The fourth proportional to 3,999.49, 5,999.82 and 1,226.38 is: 1,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.49 : 5,999.82 = 1,226.38 : x
  2. Step 2: Convert to fraction form
    3,999.49/5,999.82 = 1,226.38/x
  3. Step 3: Cross multiply
    3,999.49x = 5,999.82 × 1,226.38
  4. Step 4: Simplify right side
    3,999.49x = 7,358,059.25
  5. Step 5: Solve for x
    x = 7,358,059.25/3,999.49
  6. Step 6: Final answer
    x = 1,839.75

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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.