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Finding the Fourth Proportional to 3,663.96, 5,496.80 and 1,198.77

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Solution

The fourth proportional to 3,663.96, 5,496.80 and 1,198.77 is: 1,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.96 : 5,496.80 = 1,198.77 : x
  2. Step 2: Convert to fraction form
    3,663.96/5,496.80 = 1,198.77/x
  3. Step 3: Cross multiply
    3,663.96x = 5,496.80 × 1,198.77
  4. Step 4: Simplify right side
    3,663.96x = 6,589,392.94
  5. Step 5: Solve for x
    x = 6,589,392.94/3,663.96
  6. Step 6: Final answer
    x = 1,798.43

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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.