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Finding the Fourth Proportional to 3,664.82, 5,057.44 and 1,986.27

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Solution

The fourth proportional to 3,664.82, 5,057.44 and 1,986.27 is: 2,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.82 : 5,057.44 = 1,986.27 : x
  2. Step 2: Convert to fraction form
    3,664.82/5,057.44 = 1,986.27/x
  3. Step 3: Cross multiply
    3,664.82x = 5,057.44 × 1,986.27
  4. Step 4: Simplify right side
    3,664.82x = 10,045,441.35
  5. Step 5: Solve for x
    x = 10,045,441.35/3,664.82
  6. Step 6: Final answer
    x = 2,741.05

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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.