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Finding the Fourth Proportional to 3,394.29, 5,091.19 and 1,054.24

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Solution

The fourth proportional to 3,394.29, 5,091.19 and 1,054.24 is: 1,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.29 : 5,091.19 = 1,054.24 : x
  2. Step 2: Convert to fraction form
    3,394.29/5,091.19 = 1,054.24/x
  3. Step 3: Cross multiply
    3,394.29x = 5,091.19 × 1,054.24
  4. Step 4: Simplify right side
    3,394.29x = 5,367,336.15
  5. Step 5: Solve for x
    x = 5,367,336.15/3,394.29
  6. Step 6: Final answer
    x = 1,581.28

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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.