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Finding the Fourth Proportional to 3,394.54, 5,091.81 and 1,932.94

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Solution

The fourth proportional to 3,394.54, 5,091.81 and 1,932.94 is: 2,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.54 : 5,091.81 = 1,932.94 : x
  2. Step 2: Convert to fraction form
    3,394.54/5,091.81 = 1,932.94/x
  3. Step 3: Cross multiply
    3,394.54x = 5,091.81 × 1,932.94
  4. Step 4: Simplify right side
    3,394.54x = 9,842,163.22
  5. Step 5: Solve for x
    x = 9,842,163.22/3,394.54
  6. Step 6: Final answer
    x = 2,899.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.