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Finding the Fourth Proportional to 5,966.12, 8,231.92 and 3,608.21

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Solution

The fourth proportional to 5,966.12, 8,231.92 and 3,608.21 is: 4,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.12 : 8,231.92 = 3,608.21 : x
  2. Step 2: Convert to fraction form
    5,966.12/8,231.92 = 3,608.21/x
  3. Step 3: Cross multiply
    5,966.12x = 8,231.92 × 3,608.21
  4. Step 4: Simplify right side
    5,966.12x = 29,702,496.06
  5. Step 5: Solve for x
    x = 29,702,496.06/5,966.12
  6. Step 6: Final answer
    x = 4,978.53

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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.