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Finding the Fourth Proportional to 3,394.31, 5,091.22 and 1,054.25

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Solution

The fourth proportional to 3,394.31, 5,091.22 and 1,054.25 is: 1,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.31 : 5,091.22 = 1,054.25 : x
  2. Step 2: Convert to fraction form
    3,394.31/5,091.22 = 1,054.25/x
  3. Step 3: Cross multiply
    3,394.31x = 5,091.22 × 1,054.25
  4. Step 4: Simplify right side
    3,394.31x = 5,367,418.69
  5. Step 5: Solve for x
    x = 5,367,418.69/3,394.31
  6. Step 6: Final answer
    x = 1,581.30

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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.