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Finding the Fourth Proportional to 4,797.65, 7,194.01 and 2,198.36

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Solution

The fourth proportional to 4,797.65, 7,194.01 and 2,198.36 is: 3,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.65 : 7,194.01 = 2,198.36 : x
  2. Step 2: Convert to fraction form
    4,797.65/7,194.01 = 2,198.36/x
  3. Step 3: Cross multiply
    4,797.65x = 7,194.01 × 2,198.36
  4. Step 4: Simplify right side
    4,797.65x = 15,815,023.82
  5. Step 5: Solve for x
    x = 15,815,023.82/4,797.65
  6. Step 6: Final answer
    x = 3,296.41

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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.