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Finding the Fourth Proportional to 6,022.36, 8,311.62 and 3,664.36

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Solution

The fourth proportional to 6,022.36, 8,311.62 and 3,664.36 is: 5,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.36 : 8,311.62 = 3,664.36 : x
  2. Step 2: Convert to fraction form
    6,022.36/8,311.62 = 3,664.36/x
  3. Step 3: Cross multiply
    6,022.36x = 8,311.62 × 3,664.36
  4. Step 4: Simplify right side
    6,022.36x = 30,456,767.86
  5. Step 5: Solve for x
    x = 30,456,767.86/6,022.36
  6. Step 6: Final answer
    x = 5,057.28

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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.