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Finding the Fourth Proportional to 5,720.25, 7,893.40 and 3,202.17

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Solution

The fourth proportional to 5,720.25, 7,893.40 and 3,202.17 is: 4,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.25 : 7,893.40 = 3,202.17 : x
  2. Step 2: Convert to fraction form
    5,720.25/7,893.40 = 3,202.17/x
  3. Step 3: Cross multiply
    5,720.25x = 7,893.40 × 3,202.17
  4. Step 4: Simplify right side
    5,720.25x = 25,275,977.08
  5. Step 5: Solve for x
    x = 25,275,977.08/5,720.25
  6. Step 6: Final answer
    x = 4,418.68

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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.