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Finding the Fourth Proportional to 3,809.87, 5,257.80 and 2,131.30

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Solution

The fourth proportional to 3,809.87, 5,257.80 and 2,131.30 is: 2,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.87 : 5,257.80 = 2,131.30 : x
  2. Step 2: Convert to fraction form
    3,809.87/5,257.80 = 2,131.30/x
  3. Step 3: Cross multiply
    3,809.87x = 5,257.80 × 2,131.30
  4. Step 4: Simplify right side
    3,809.87x = 11,205,949.14
  5. Step 5: Solve for x
    x = 11,205,949.14/3,809.87
  6. Step 6: Final answer
    x = 2,941.29

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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.