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Finding the Fourth Proportional to 5,796.24, 7,998.82 and 3,143.63

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Solution

The fourth proportional to 5,796.24, 7,998.82 and 3,143.63 is: 4,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.24 : 7,998.82 = 3,143.63 : x
  2. Step 2: Convert to fraction form
    5,796.24/7,998.82 = 3,143.63/x
  3. Step 3: Cross multiply
    5,796.24x = 7,998.82 × 3,143.63
  4. Step 4: Simplify right side
    5,796.24x = 25,145,330.52
  5. Step 5: Solve for x
    x = 25,145,330.52/5,796.24
  6. Step 6: Final answer
    x = 4,338.21

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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.