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Finding the Fourth Proportional to 4,361.69, 6,541.82 and 1,198.39

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Solution

The fourth proportional to 4,361.69, 6,541.82 and 1,198.39 is: 1,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.69 : 6,541.82 = 1,198.39 : x
  2. Step 2: Convert to fraction form
    4,361.69/6,541.82 = 1,198.39/x
  3. Step 3: Cross multiply
    4,361.69x = 6,541.82 × 1,198.39
  4. Step 4: Simplify right side
    4,361.69x = 7,839,638.31
  5. Step 5: Solve for x
    x = 7,839,638.31/4,361.69
  6. Step 6: Final answer
    x = 1,797.39

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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.