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Finding the Fourth Proportional to 5,720.15, 7,893.28 and 3,202.31

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Solution

The fourth proportional to 5,720.15, 7,893.28 and 3,202.31 is: 4,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.15 : 7,893.28 = 3,202.31 : x
  2. Step 2: Convert to fraction form
    5,720.15/7,893.28 = 3,202.31/x
  3. Step 3: Cross multiply
    5,720.15x = 7,893.28 × 3,202.31
  4. Step 4: Simplify right side
    5,720.15x = 25,276,729.48
  5. Step 5: Solve for x
    x = 25,276,729.48/5,720.15
  6. Step 6: Final answer
    x = 4,418.89

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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.