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Finding the Fourth Proportional to 5,966.36, 8,231 and 3,607.12

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Solution

The fourth proportional to 5,966.36, 8,231 and 3,607.12 is: 4,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.36 : 8,231 = 3,607.12 : x
  2. Step 2: Convert to fraction form
    5,966.36/8,231 = 3,607.12/x
  3. Step 3: Cross multiply
    5,966.36x = 8,231 × 3,607.12
  4. Step 4: Simplify right side
    5,966.36x = 29,690,204.72
  5. Step 5: Solve for x
    x = 29,690,204.72/5,966.36
  6. Step 6: Final answer
    x = 4,976.27

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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.