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Finding the Fourth Proportional to 3,940.45, 5,914.29 and 1,994.02

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Solution

The fourth proportional to 3,940.45, 5,914.29 and 1,994.02 is: 2,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.45 : 5,914.29 = 1,994.02 : x
  2. Step 2: Convert to fraction form
    3,940.45/5,914.29 = 1,994.02/x
  3. Step 3: Cross multiply
    3,940.45x = 5,914.29 × 1,994.02
  4. Step 4: Simplify right side
    3,940.45x = 11,793,212.55
  5. Step 5: Solve for x
    x = 11,793,212.55/3,940.45
  6. Step 6: Final answer
    x = 2,992.86

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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.