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Finding the Fourth Proportional to 5,104.66, 7,660.25 and 3,257.09

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Solution

The fourth proportional to 5,104.66, 7,660.25 and 3,257.09 is: 4,887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.66 : 7,660.25 = 3,257.09 : x
  2. Step 2: Convert to fraction form
    5,104.66/7,660.25 = 3,257.09/x
  3. Step 3: Cross multiply
    5,104.66x = 7,660.25 × 3,257.09
  4. Step 4: Simplify right side
    5,104.66x = 24,950,107.39
  5. Step 5: Solve for x
    x = 24,950,107.39/5,104.66
  6. Step 6: Final answer
    x = 4,887.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.