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Finding the Fourth Proportional to 3,896.86, 5,378.22 and 2,217.94

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Solution

The fourth proportional to 3,896.86, 5,378.22 and 2,217.94 is: 3,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.86 : 5,378.22 = 2,217.94 : x
  2. Step 2: Convert to fraction form
    3,896.86/5,378.22 = 2,217.94/x
  3. Step 3: Cross multiply
    3,896.86x = 5,378.22 × 2,217.94
  4. Step 4: Simplify right side
    3,896.86x = 11,928,569.27
  5. Step 5: Solve for x
    x = 11,928,569.27/3,896.86
  6. Step 6: Final answer
    x = 3,061.07

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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.