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Finding the Fourth Proportional to 3,636.34, 5,451.99 and 1,906.18

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Solution

The fourth proportional to 3,636.34, 5,451.99 and 1,906.18 is: 2,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.34 : 5,451.99 = 1,906.18 : x
  2. Step 2: Convert to fraction form
    3,636.34/5,451.99 = 1,906.18/x
  3. Step 3: Cross multiply
    3,636.34x = 5,451.99 × 1,906.18
  4. Step 4: Simplify right side
    3,636.34x = 10,392,474.30
  5. Step 5: Solve for x
    x = 10,392,474.30/3,636.34
  6. Step 6: Final answer
    x = 2,857.95

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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.