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Finding the Fourth Proportional to 3,967.04, 5,474.56 and 2,198.70

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Solution

The fourth proportional to 3,967.04, 5,474.56 and 2,198.70 is: 3,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.04 : 5,474.56 = 2,198.70 : x
  2. Step 2: Convert to fraction form
    3,967.04/5,474.56 = 2,198.70/x
  3. Step 3: Cross multiply
    3,967.04x = 5,474.56 × 2,198.70
  4. Step 4: Simplify right side
    3,967.04x = 12,036,915.07
  5. Step 5: Solve for x
    x = 12,036,915.07/3,967.04
  6. Step 6: Final answer
    x = 3,034.23

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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.