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Finding the Fourth Proportional to 5,247.75, 7,863.69 and 3,165.44

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Solution

The fourth proportional to 5,247.75, 7,863.69 and 3,165.44 is: 4,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.75 : 7,863.69 = 3,165.44 : x
  2. Step 2: Convert to fraction form
    5,247.75/7,863.69 = 3,165.44/x
  3. Step 3: Cross multiply
    5,247.75x = 7,863.69 × 3,165.44
  4. Step 4: Simplify right side
    5,247.75x = 24,892,038.87
  5. Step 5: Solve for x
    x = 24,892,038.87/5,247.75
  6. Step 6: Final answer
    x = 4,743.37

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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.