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Finding the Fourth Proportional to 4,896.03, 7,344 and 1,198.28

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Solution

The fourth proportional to 4,896.03, 7,344 and 1,198.28 is: 1,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.03 : 7,344 = 1,198.28 : x
  2. Step 2: Convert to fraction form
    4,896.03/7,344 = 1,198.28/x
  3. Step 3: Cross multiply
    4,896.03x = 7,344 × 1,198.28
  4. Step 4: Simplify right side
    4,896.03x = 8,800,131.60
  5. Step 5: Solve for x
    x = 8,800,131.60/4,896.03
  6. Step 6: Final answer
    x = 1,797.40

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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.