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Finding the Fourth Proportional to 4,896.37, 7,344.54 and 1,198.56

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Solution

The fourth proportional to 4,896.37, 7,344.54 and 1,198.56 is: 1,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.37 : 7,344.54 = 1,198.56 : x
  2. Step 2: Convert to fraction form
    4,896.37/7,344.54 = 1,198.56/x
  3. Step 3: Cross multiply
    4,896.37x = 7,344.54 × 1,198.56
  4. Step 4: Simplify right side
    4,896.37x = 8,802,871.86
  5. Step 5: Solve for x
    x = 8,802,871.86/4,896.37
  6. Step 6: Final answer
    x = 1,797.84

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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.