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Finding the Fourth Proportional to 4,687.36, 6,469.20 and 2,824

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Solution

The fourth proportional to 4,687.36, 6,469.20 and 2,824 is: 3,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.36 : 6,469.20 = 2,824 : x
  2. Step 2: Convert to fraction form
    4,687.36/6,469.20 = 2,824/x
  3. Step 3: Cross multiply
    4,687.36x = 6,469.20 × 2,824
  4. Step 4: Simplify right side
    4,687.36x = 18,269,020.80
  5. Step 5: Solve for x
    x = 18,269,020.80/4,687.36
  6. Step 6: Final answer
    x = 3,897.51

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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.