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Finding the Fourth Proportional to 3,873.33, 5,811.21 and 1,278.09

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Solution

The fourth proportional to 3,873.33, 5,811.21 and 1,278.09 is: 1,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.33 : 5,811.21 = 1,278.09 : x
  2. Step 2: Convert to fraction form
    3,873.33/5,811.21 = 1,278.09/x
  3. Step 3: Cross multiply
    3,873.33x = 5,811.21 × 1,278.09
  4. Step 4: Simplify right side
    3,873.33x = 7,427,249.39
  5. Step 5: Solve for x
    x = 7,427,249.39/3,873.33
  6. Step 6: Final answer
    x = 1,917.54

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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.