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Finding the Fourth Proportional to 4,135.39, 6,194.17 and 1,940.83

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Solution

The fourth proportional to 4,135.39, 6,194.17 and 1,940.83 is: 2,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.39 : 6,194.17 = 1,940.83 : x
  2. Step 2: Convert to fraction form
    4,135.39/6,194.17 = 1,940.83/x
  3. Step 3: Cross multiply
    4,135.39x = 6,194.17 × 1,940.83
  4. Step 4: Simplify right side
    4,135.39x = 12,021,817.90
  5. Step 5: Solve for x
    x = 12,021,817.90/4,135.39
  6. Step 6: Final answer
    x = 2,907.06

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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.