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Finding the Fourth Proportional to 5,720.43, 7,892.40 and 3,202.20

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Solution

The fourth proportional to 5,720.43, 7,892.40 and 3,202.20 is: 4,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.43 : 7,892.40 = 3,202.20 : x
  2. Step 2: Convert to fraction form
    5,720.43/7,892.40 = 3,202.20/x
  3. Step 3: Cross multiply
    5,720.43x = 7,892.40 × 3,202.20
  4. Step 4: Simplify right side
    5,720.43x = 25,273,043.28
  5. Step 5: Solve for x
    x = 25,273,043.28/5,720.43
  6. Step 6: Final answer
    x = 4,418.03

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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.