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Finding the Fourth Proportional to 4,896.34, 7,344.29 and 1,198.37

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Solution

The fourth proportional to 4,896.34, 7,344.29 and 1,198.37 is: 1,797.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.34 : 7,344.29 = 1,198.37 : x
  2. Step 2: Convert to fraction form
    4,896.34/7,344.29 = 1,198.37/x
  3. Step 3: Cross multiply
    4,896.34x = 7,344.29 × 1,198.37
  4. Step 4: Simplify right side
    4,896.34x = 8,801,198.16
  5. Step 5: Solve for x
    x = 8,801,198.16/4,896.34
  6. Step 6: Final answer
    x = 1,797.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.