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Finding the Fourth Proportional to 6,371.02, 8,791.96 and 3,682.18

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Solution

The fourth proportional to 6,371.02, 8,791.96 and 3,682.18 is: 5,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.02 : 8,791.96 = 3,682.18 : x
  2. Step 2: Convert to fraction form
    6,371.02/8,791.96 = 3,682.18/x
  3. Step 3: Cross multiply
    6,371.02x = 8,791.96 × 3,682.18
  4. Step 4: Simplify right side
    6,371.02x = 32,373,579.27
  5. Step 5: Solve for x
    x = 32,373,579.27/6,371.02
  6. Step 6: Final answer
    x = 5,081.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.