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Finding the Fourth Proportional to 3,394.78, 5,093.67 and 2,161.87

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Solution

The fourth proportional to 3,394.78, 5,093.67 and 2,161.87 is: 3,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.78 : 5,093.67 = 2,161.87 : x
  2. Step 2: Convert to fraction form
    3,394.78/5,093.67 = 2,161.87/x
  3. Step 3: Cross multiply
    3,394.78x = 5,093.67 × 2,161.87
  4. Step 4: Simplify right side
    3,394.78x = 11,011,852.36
  5. Step 5: Solve for x
    x = 11,011,852.36/3,394.78
  6. Step 6: Final answer
    x = 3,243.76

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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.