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Finding the Fourth Proportional to 3,816.62, 5,265.74 and 2,137.80

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Solution

The fourth proportional to 3,816.62, 5,265.74 and 2,137.80 is: 2,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.62 : 5,265.74 = 2,137.80 : x
  2. Step 2: Convert to fraction form
    3,816.62/5,265.74 = 2,137.80/x
  3. Step 3: Cross multiply
    3,816.62x = 5,265.74 × 2,137.80
  4. Step 4: Simplify right side
    3,816.62x = 11,257,098.97
  5. Step 5: Solve for x
    x = 11,257,098.97/3,816.62
  6. Step 6: Final answer
    x = 2,949.49

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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.