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Finding the Fourth Proportional to 5,625.28, 8,431.07 and 3,982.30

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Solution

The fourth proportional to 5,625.28, 8,431.07 and 3,982.30 is: 5,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.28 : 8,431.07 = 3,982.30 : x
  2. Step 2: Convert to fraction form
    5,625.28/8,431.07 = 3,982.30/x
  3. Step 3: Cross multiply
    5,625.28x = 8,431.07 × 3,982.30
  4. Step 4: Simplify right side
    5,625.28x = 33,575,007.91
  5. Step 5: Solve for x
    x = 33,575,007.91/5,625.28
  6. Step 6: Final answer
    x = 5,968.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.