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Finding the Fourth Proportional to 4,136.27, 6,199.14 and 1,940.17

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Solution

The fourth proportional to 4,136.27, 6,199.14 and 1,940.17 is: 2,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.27 : 6,199.14 = 1,940.17 : x
  2. Step 2: Convert to fraction form
    4,136.27/6,199.14 = 1,940.17/x
  3. Step 3: Cross multiply
    4,136.27x = 6,199.14 × 1,940.17
  4. Step 4: Simplify right side
    4,136.27x = 12,027,385.45
  5. Step 5: Solve for x
    x = 12,027,385.45/4,136.27
  6. Step 6: Final answer
    x = 2,907.79

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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.