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Finding the Fourth Proportional to 5,896.67, 8,132.81 and 3,906.50

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Solution

The fourth proportional to 5,896.67, 8,132.81 and 3,906.50 is: 5,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.67 : 8,132.81 = 3,906.50 : x
  2. Step 2: Convert to fraction form
    5,896.67/8,132.81 = 3,906.50/x
  3. Step 3: Cross multiply
    5,896.67x = 8,132.81 × 3,906.50
  4. Step 4: Simplify right side
    5,896.67x = 31,770,762.07
  5. Step 5: Solve for x
    x = 31,770,762.07/5,896.67
  6. Step 6: Final answer
    x = 5,387.92

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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.