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Finding the Fourth Proportional to 4,073.16, 6,109.00 and 2,198.17

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Solution

The fourth proportional to 4,073.16, 6,109.00 and 2,198.17 is: 3,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.16 : 6,109.00 = 2,198.17 : x
  2. Step 2: Convert to fraction form
    4,073.16/6,109.00 = 2,198.17/x
  3. Step 3: Cross multiply
    4,073.16x = 6,109.00 × 2,198.17
  4. Step 4: Simplify right side
    4,073.16x = 13,428,635.04
  5. Step 5: Solve for x
    x = 13,428,635.04/4,073.16
  6. Step 6: Final answer
    x = 3,296.86

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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.