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Finding the Fourth Proportional to 5,857.87, 8,086.53 and 3,736.31

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Solution

The fourth proportional to 5,857.87, 8,086.53 and 3,736.31 is: 5,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.87 : 8,086.53 = 3,736.31 : x
  2. Step 2: Convert to fraction form
    5,857.87/8,086.53 = 3,736.31/x
  3. Step 3: Cross multiply
    5,857.87x = 8,086.53 × 3,736.31
  4. Step 4: Simplify right side
    5,857.87x = 30,213,786.21
  5. Step 5: Solve for x
    x = 30,213,786.21/5,857.87
  6. Step 6: Final answer
    x = 5,157.81

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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.