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Finding the Fourth Proportional to 3,967.07, 5,474.75 and 2,198.68

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Solution

The fourth proportional to 3,967.07, 5,474.75 and 2,198.68 is: 3,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.07 : 5,474.75 = 2,198.68 : x
  2. Step 2: Convert to fraction form
    3,967.07/5,474.75 = 2,198.68/x
  3. Step 3: Cross multiply
    3,967.07x = 5,474.75 × 2,198.68
  4. Step 4: Simplify right side
    3,967.07x = 12,037,198.65
  5. Step 5: Solve for x
    x = 12,037,198.65/3,967.07
  6. Step 6: Final answer
    x = 3,034.28

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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.