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Finding the Fourth Proportional to 6,227.25, 8,591.77 and 3,708.10

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Solution

The fourth proportional to 6,227.25, 8,591.77 and 3,708.10 is: 5,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.25 : 8,591.77 = 3,708.10 : x
  2. Step 2: Convert to fraction form
    6,227.25/8,591.77 = 3,708.10/x
  3. Step 3: Cross multiply
    6,227.25x = 8,591.77 × 3,708.10
  4. Step 4: Simplify right side
    6,227.25x = 31,859,142.34
  5. Step 5: Solve for x
    x = 31,859,142.34/6,227.25
  6. Step 6: Final answer
    x = 5,116.09

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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.