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Finding the Fourth Proportional to 3,611.87, 5,414.16 and 1,422.14

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Solution

The fourth proportional to 3,611.87, 5,414.16 and 1,422.14 is: 2,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.87 : 5,414.16 = 1,422.14 : x
  2. Step 2: Convert to fraction form
    3,611.87/5,414.16 = 1,422.14/x
  3. Step 3: Cross multiply
    3,611.87x = 5,414.16 × 1,422.14
  4. Step 4: Simplify right side
    3,611.87x = 7,699,707.04
  5. Step 5: Solve for x
    x = 7,699,707.04/3,611.87
  6. Step 6: Final answer
    x = 2,131.78

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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.