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Finding the Fourth Proportional to 5,794.82, 7,996.84 and 3,142.22

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Solution

The fourth proportional to 5,794.82, 7,996.84 and 3,142.22 is: 4,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.82 : 7,996.84 = 3,142.22 : x
  2. Step 2: Convert to fraction form
    5,794.82/7,996.84 = 3,142.22/x
  3. Step 3: Cross multiply
    5,794.82x = 7,996.84 × 3,142.22
  4. Step 4: Simplify right side
    5,794.82x = 25,127,830.58
  5. Step 5: Solve for x
    x = 25,127,830.58/5,794.82
  6. Step 6: Final answer
    x = 4,336.26

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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.