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Finding the Fourth Proportional to 5,896.62, 8,137.73 and 3,505.96

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Solution

The fourth proportional to 5,896.62, 8,137.73 and 3,505.96 is: 4,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.62 : 8,137.73 = 3,505.96 : x
  2. Step 2: Convert to fraction form
    5,896.62/8,137.73 = 3,505.96/x
  3. Step 3: Cross multiply
    5,896.62x = 8,137.73 × 3,505.96
  4. Step 4: Simplify right side
    5,896.62x = 28,530,555.87
  5. Step 5: Solve for x
    x = 28,530,555.87/5,896.62
  6. Step 6: Final answer
    x = 4,838.46

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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.