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Finding the Fourth Proportional to 5,198.42, 7,797.15 and 2,699.48

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Solution

The fourth proportional to 5,198.42, 7,797.15 and 2,699.48 is: 4,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.42 : 7,797.15 = 2,699.48 : x
  2. Step 2: Convert to fraction form
    5,198.42/7,797.15 = 2,699.48/x
  3. Step 3: Cross multiply
    5,198.42x = 7,797.15 × 2,699.48
  4. Step 4: Simplify right side
    5,198.42x = 21,048,211.50
  5. Step 5: Solve for x
    x = 21,048,211.50/5,198.42
  6. Step 6: Final answer
    x = 4,048.97

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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.