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Finding the Fourth Proportional to 5,796.60, 7,999.34 and 3,143.99

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Solution

The fourth proportional to 5,796.60, 7,999.34 and 3,143.99 is: 4,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.60 : 7,999.34 = 3,143.99 : x
  2. Step 2: Convert to fraction form
    5,796.60/7,999.34 = 3,143.99/x
  3. Step 3: Cross multiply
    5,796.60x = 7,999.34 × 3,143.99
  4. Step 4: Simplify right side
    5,796.60x = 25,149,844.97
  5. Step 5: Solve for x
    x = 25,149,844.97/5,796.60
  6. Step 6: Final answer
    x = 4,338.72

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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.