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Finding the Fourth Proportional to 3,222.72, 4,447.71 and 1,896.75

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Solution

The fourth proportional to 3,222.72, 4,447.71 and 1,896.75 is: 2,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.72 : 4,447.71 = 1,896.75 : x
  2. Step 2: Convert to fraction form
    3,222.72/4,447.71 = 1,896.75/x
  3. Step 3: Cross multiply
    3,222.72x = 4,447.71 × 1,896.75
  4. Step 4: Simplify right side
    3,222.72x = 8,436,193.94
  5. Step 5: Solve for x
    x = 8,436,193.94/3,222.72
  6. Step 6: Final answer
    x = 2,617.72

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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.