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Finding the Fourth Proportional to 5,719.20, 7,892.82 and 3,201.36

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Solution

The fourth proportional to 5,719.20, 7,892.82 and 3,201.36 is: 4,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.20 : 7,892.82 = 3,201.36 : x
  2. Step 2: Convert to fraction form
    5,719.20/7,892.82 = 3,201.36/x
  3. Step 3: Cross multiply
    5,719.20x = 7,892.82 × 3,201.36
  4. Step 4: Simplify right side
    5,719.20x = 25,267,758.24
  5. Step 5: Solve for x
    x = 25,267,758.24/5,719.20
  6. Step 6: Final answer
    x = 4,418.06

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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.