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Finding the Fourth Proportional to 3,663.70, 5,495.96 and 1,198.06

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Solution

The fourth proportional to 3,663.70, 5,495.96 and 1,198.06 is: 1,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.70 : 5,495.96 = 1,198.06 : x
  2. Step 2: Convert to fraction form
    3,663.70/5,495.96 = 1,198.06/x
  3. Step 3: Cross multiply
    3,663.70x = 5,495.96 × 1,198.06
  4. Step 4: Simplify right side
    3,663.70x = 6,584,489.84
  5. Step 5: Solve for x
    x = 6,584,489.84/3,663.70
  6. Step 6: Final answer
    x = 1,797.22

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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.