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Finding the Fourth Proportional to 5,321.72, 7,344.05 and 3,083.75

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Solution

The fourth proportional to 5,321.72, 7,344.05 and 3,083.75 is: 4,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.72 : 7,344.05 = 3,083.75 : x
  2. Step 2: Convert to fraction form
    5,321.72/7,344.05 = 3,083.75/x
  3. Step 3: Cross multiply
    5,321.72x = 7,344.05 × 3,083.75
  4. Step 4: Simplify right side
    5,321.72x = 22,647,217.13
  5. Step 5: Solve for x
    x = 22,647,217.13/5,321.72
  6. Step 6: Final answer
    x = 4,255.62

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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.