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Finding the Fourth Proportional to 3,847.86, 5,769.75 and 1,994.39

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Solution

The fourth proportional to 3,847.86, 5,769.75 and 1,994.39 is: 2,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.86 : 5,769.75 = 1,994.39 : x
  2. Step 2: Convert to fraction form
    3,847.86/5,769.75 = 1,994.39/x
  3. Step 3: Cross multiply
    3,847.86x = 5,769.75 × 1,994.39
  4. Step 4: Simplify right side
    3,847.86x = 11,507,102.85
  5. Step 5: Solve for x
    x = 11,507,102.85/3,847.86
  6. Step 6: Final answer
    x = 2,990.52

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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.