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Finding the Fourth Proportional to 5,896.92, 8,846.50 and 1,736.92

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Solution

The fourth proportional to 5,896.92, 8,846.50 and 1,736.92 is: 2,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.92 : 8,846.50 = 1,736.92 : x
  2. Step 2: Convert to fraction form
    5,896.92/8,846.50 = 1,736.92/x
  3. Step 3: Cross multiply
    5,896.92x = 8,846.50 × 1,736.92
  4. Step 4: Simplify right side
    5,896.92x = 15,365,662.78
  5. Step 5: Solve for x
    x = 15,365,662.78/5,896.92
  6. Step 6: Final answer
    x = 2,605.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.