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Finding the Fourth Proportional to 3,896.46, 5,377.74 and 2,325.48

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Solution

The fourth proportional to 3,896.46, 5,377.74 and 2,325.48 is: 3,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.46 : 5,377.74 = 2,325.48 : x
  2. Step 2: Convert to fraction form
    3,896.46/5,377.74 = 2,325.48/x
  3. Step 3: Cross multiply
    3,896.46x = 5,377.74 × 2,325.48
  4. Step 4: Simplify right side
    3,896.46x = 12,505,826.82
  5. Step 5: Solve for x
    x = 12,505,826.82/3,896.46
  6. Step 6: Final answer
    x = 3,209.54

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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.