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Finding the Fourth Proportional to 3,389.71, 5,084.26 and 1,198.33

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Solution

The fourth proportional to 3,389.71, 5,084.26 and 1,198.33 is: 1,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.71 : 5,084.26 = 1,198.33 : x
  2. Step 2: Convert to fraction form
    3,389.71/5,084.26 = 1,198.33/x
  3. Step 3: Cross multiply
    3,389.71x = 5,084.26 × 1,198.33
  4. Step 4: Simplify right side
    3,389.71x = 6,092,621.29
  5. Step 5: Solve for x
    x = 6,092,621.29/3,389.71
  6. Step 6: Final answer
    x = 1,797.39

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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.