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Finding the Fourth Proportional to 5,786.64, 7,984.71 and 3,793.37

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Solution

The fourth proportional to 5,786.64, 7,984.71 and 3,793.37 is: 5,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.64 : 7,984.71 = 3,793.37 : x
  2. Step 2: Convert to fraction form
    5,786.64/7,984.71 = 3,793.37/x
  3. Step 3: Cross multiply
    5,786.64x = 7,984.71 × 3,793.37
  4. Step 4: Simplify right side
    5,786.64x = 30,288,919.45
  5. Step 5: Solve for x
    x = 30,288,919.45/5,786.64
  6. Step 6: Final answer
    x = 5,234.28

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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.