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Finding the Fourth Proportional to 5,796.36, 7,998.98 and 3,143.80

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Solution

The fourth proportional to 5,796.36, 7,998.98 and 3,143.80 is: 4,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.36 : 7,998.98 = 3,143.80 : x
  2. Step 2: Convert to fraction form
    5,796.36/7,998.98 = 3,143.80/x
  3. Step 3: Cross multiply
    5,796.36x = 7,998.98 × 3,143.80
  4. Step 4: Simplify right side
    5,796.36x = 25,147,193.32
  5. Step 5: Solve for x
    x = 25,147,193.32/5,796.36
  6. Step 6: Final answer
    x = 4,338.45

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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.