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Finding the Fourth Proportional to 5,296.77, 7,939.39 and 3,989.25

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Solution

The fourth proportional to 5,296.77, 7,939.39 and 3,989.25 is: 5,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.77 : 7,939.39 = 3,989.25 : x
  2. Step 2: Convert to fraction form
    5,296.77/7,939.39 = 3,989.25/x
  3. Step 3: Cross multiply
    5,296.77x = 7,939.39 × 3,989.25
  4. Step 4: Simplify right side
    5,296.77x = 31,672,211.56
  5. Step 5: Solve for x
    x = 31,672,211.56/5,296.77
  6. Step 6: Final answer
    x = 5,979.53

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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.