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Finding the Fourth Proportional to 5,199.82, 7,175.87 and 2,841.96

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Solution

The fourth proportional to 5,199.82, 7,175.87 and 2,841.96 is: 3,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.82 : 7,175.87 = 2,841.96 : x
  2. Step 2: Convert to fraction form
    5,199.82/7,175.87 = 2,841.96/x
  3. Step 3: Cross multiply
    5,199.82x = 7,175.87 × 2,841.96
  4. Step 4: Simplify right side
    5,199.82x = 20,393,530.69
  5. Step 5: Solve for x
    x = 20,393,530.69/5,199.82
  6. Step 6: Final answer
    x = 3,921.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.