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Finding the Fourth Proportional to 5,961.63, 8,227.07 and 3,309.19

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Solution

The fourth proportional to 5,961.63, 8,227.07 and 3,309.19 is: 4,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.63 : 8,227.07 = 3,309.19 : x
  2. Step 2: Convert to fraction form
    5,961.63/8,227.07 = 3,309.19/x
  3. Step 3: Cross multiply
    5,961.63x = 8,227.07 × 3,309.19
  4. Step 4: Simplify right side
    5,961.63x = 27,224,913.07
  5. Step 5: Solve for x
    x = 27,224,913.07/5,961.63
  6. Step 6: Final answer
    x = 4,566.69

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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.