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Finding the Fourth Proportional to 4,491.64, 6,198.00 and 2,766.66

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Solution

The fourth proportional to 4,491.64, 6,198.00 and 2,766.66 is: 3,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.64 : 6,198.00 = 2,766.66 : x
  2. Step 2: Convert to fraction form
    4,491.64/6,198.00 = 2,766.66/x
  3. Step 3: Cross multiply
    4,491.64x = 6,198.00 × 2,766.66
  4. Step 4: Simplify right side
    4,491.64x = 17,147,729.35
  5. Step 5: Solve for x
    x = 17,147,729.35/4,491.64
  6. Step 6: Final answer
    x = 3,817.70

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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.