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Finding the Fourth Proportional to 3,663.90, 5,496.42 and 1,198.14

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Solution

The fourth proportional to 3,663.90, 5,496.42 and 1,198.14 is: 1,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.90 : 5,496.42 = 1,198.14 : x
  2. Step 2: Convert to fraction form
    3,663.90/5,496.42 = 1,198.14/x
  3. Step 3: Cross multiply
    3,663.90x = 5,496.42 × 1,198.14
  4. Step 4: Simplify right side
    3,663.90x = 6,585,480.66
  5. Step 5: Solve for x
    x = 6,585,480.66/3,663.90
  6. Step 6: Final answer
    x = 1,797.40

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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.