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Finding the Fourth Proportional to 5,976.40, 8,249.67 and 5,133.73

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Solution

The fourth proportional to 5,976.40, 8,249.67 and 5,133.73 is: 7,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.40 : 8,249.67 = 5,133.73 : x
  2. Step 2: Convert to fraction form
    5,976.40/8,249.67 = 5,133.73/x
  3. Step 3: Cross multiply
    5,976.40x = 8,249.67 × 5,133.73
  4. Step 4: Simplify right side
    5,976.40x = 42,351,578.37
  5. Step 5: Solve for x
    x = 42,351,578.37/5,976.40
  6. Step 6: Final answer
    x = 7,086.47

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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.