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Finding the Fourth Proportional to 3,896.55, 5,846.85 and 2,234.43

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Solution

The fourth proportional to 3,896.55, 5,846.85 and 2,234.43 is: 3,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.55 : 5,846.85 = 2,234.43 : x
  2. Step 2: Convert to fraction form
    3,896.55/5,846.85 = 2,234.43/x
  3. Step 3: Cross multiply
    3,896.55x = 5,846.85 × 2,234.43
  4. Step 4: Simplify right side
    3,896.55x = 13,064,377.05
  5. Step 5: Solve for x
    x = 13,064,377.05/3,896.55
  6. Step 6: Final answer
    x = 3,352.81

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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.