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Finding the Fourth Proportional to 3,815.97, 5,266.23 and 2,137.28

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Solution

The fourth proportional to 3,815.97, 5,266.23 and 2,137.28 is: 2,949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.97 : 5,266.23 = 2,137.28 : x
  2. Step 2: Convert to fraction form
    3,815.97/5,266.23 = 2,137.28/x
  3. Step 3: Cross multiply
    3,815.97x = 5,266.23 × 2,137.28
  4. Step 4: Simplify right side
    3,815.97x = 11,255,385.73
  5. Step 5: Solve for x
    x = 11,255,385.73/3,815.97
  6. Step 6: Final answer
    x = 2,949.55

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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.