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Finding the Fourth Proportional to 4,247.96, 5,864.16 and 2,834

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Solution

The fourth proportional to 4,247.96, 5,864.16 and 2,834 is: 3,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247.96 : 5,864.16 = 2,834 : x
  2. Step 2: Convert to fraction form
    4,247.96/5,864.16 = 2,834/x
  3. Step 3: Cross multiply
    4,247.96x = 5,864.16 × 2,834
  4. Step 4: Simplify right side
    4,247.96x = 16,619,029.44
  5. Step 5: Solve for x
    x = 16,619,029.44/4,247.96
  6. Step 6: Final answer
    x = 3,912.24

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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.