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Finding the Fourth Proportional to 3,663.60, 5,496.40 and 1,198.56

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Solution

The fourth proportional to 3,663.60, 5,496.40 and 1,198.56 is: 1,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.60 : 5,496.40 = 1,198.56 : x
  2. Step 2: Convert to fraction form
    3,663.60/5,496.40 = 1,198.56/x
  3. Step 3: Cross multiply
    3,663.60x = 5,496.40 × 1,198.56
  4. Step 4: Simplify right side
    3,663.60x = 6,587,765.18
  5. Step 5: Solve for x
    x = 6,587,765.18/3,663.60
  6. Step 6: Final answer
    x = 1,798.17

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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.