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Finding the Fourth Proportional to 4,134.70, 6,193.14 and 1,940.14

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Solution

The fourth proportional to 4,134.70, 6,193.14 and 1,940.14 is: 2,906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.70 : 6,193.14 = 1,940.14 : x
  2. Step 2: Convert to fraction form
    4,134.70/6,193.14 = 1,940.14/x
  3. Step 3: Cross multiply
    4,134.70x = 6,193.14 × 1,940.14
  4. Step 4: Simplify right side
    4,134.70x = 12,015,558.64
  5. Step 5: Solve for x
    x = 12,015,558.64/4,134.70
  6. Step 6: Final answer
    x = 2,906.03

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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.