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Finding the Fourth Proportional to 5,796.75, 7,999.56 and 3,144.16

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Solution

The fourth proportional to 5,796.75, 7,999.56 and 3,144.16 is: 4,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.75 : 7,999.56 = 3,144.16 : x
  2. Step 2: Convert to fraction form
    5,796.75/7,999.56 = 3,144.16/x
  3. Step 3: Cross multiply
    5,796.75x = 7,999.56 × 3,144.16
  4. Step 4: Simplify right side
    5,796.75x = 25,151,918.36
  5. Step 5: Solve for x
    x = 25,151,918.36/5,796.75
  6. Step 6: Final answer
    x = 4,338.97

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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.