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Finding the Fourth Proportional to 3,896.50, 5,378.13 and 2,241.46

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Solution

The fourth proportional to 3,896.50, 5,378.13 and 2,241.46 is: 3,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.50 : 5,378.13 = 2,241.46 : x
  2. Step 2: Convert to fraction form
    3,896.50/5,378.13 = 2,241.46/x
  3. Step 3: Cross multiply
    3,896.50x = 5,378.13 × 2,241.46
  4. Step 4: Simplify right side
    3,896.50x = 12,054,863.27
  5. Step 5: Solve for x
    x = 12,054,863.27/3,896.50
  6. Step 6: Final answer
    x = 3,093.77

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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.