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Finding the Fourth Proportional to 5,198.74, 7,796.96 and 1,500.17

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Solution

The fourth proportional to 5,198.74, 7,796.96 and 1,500.17 is: 2,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.74 : 7,796.96 = 1,500.17 : x
  2. Step 2: Convert to fraction form
    5,198.74/7,796.96 = 1,500.17/x
  3. Step 3: Cross multiply
    5,198.74x = 7,796.96 × 1,500.17
  4. Step 4: Simplify right side
    5,198.74x = 11,696,724.62
  5. Step 5: Solve for x
    x = 11,696,724.62/5,198.74
  6. Step 6: Final answer
    x = 2,249.92

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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.