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Finding the Fourth Proportional to 5,715.56, 7,887.46 and 3,163.32

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Solution

The fourth proportional to 5,715.56, 7,887.46 and 3,163.32 is: 4,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.56 : 7,887.46 = 3,163.32 : x
  2. Step 2: Convert to fraction form
    5,715.56/7,887.46 = 3,163.32/x
  3. Step 3: Cross multiply
    5,715.56x = 7,887.46 × 3,163.32
  4. Step 4: Simplify right side
    5,715.56x = 24,950,559.97
  5. Step 5: Solve for x
    x = 24,950,559.97/5,715.56
  6. Step 6: Final answer
    x = 4,365.37

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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.