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Finding the Fourth Proportional to 6,198.21, 8,554.23 and 3,546

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Solution

The fourth proportional to 6,198.21, 8,554.23 and 3,546 is: 4,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.21 : 8,554.23 = 3,546 : x
  2. Step 2: Convert to fraction form
    6,198.21/8,554.23 = 3,546/x
  3. Step 3: Cross multiply
    6,198.21x = 8,554.23 × 3,546
  4. Step 4: Simplify right side
    6,198.21x = 30,333,299.58
  5. Step 5: Solve for x
    x = 30,333,299.58/6,198.21
  6. Step 6: Final answer
    x = 4,893.88

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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.