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Finding the Fourth Proportional to 5,896.44, 8,141.22 and 4,107.96

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Solution

The fourth proportional to 5,896.44, 8,141.22 and 4,107.96 is: 5,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.44 : 8,141.22 = 4,107.96 : x
  2. Step 2: Convert to fraction form
    5,896.44/8,141.22 = 4,107.96/x
  3. Step 3: Cross multiply
    5,896.44x = 8,141.22 × 4,107.96
  4. Step 4: Simplify right side
    5,896.44x = 33,443,806.11
  5. Step 5: Solve for x
    x = 33,443,806.11/5,896.44
  6. Step 6: Final answer
    x = 5,671.86

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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.