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Finding the Fourth Proportional to 3,394.86, 5,092.34 and 2,232.29

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Solution

The fourth proportional to 3,394.86, 5,092.34 and 2,232.29 is: 3,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.86 : 5,092.34 = 2,232.29 : x
  2. Step 2: Convert to fraction form
    3,394.86/5,092.34 = 2,232.29/x
  3. Step 3: Cross multiply
    3,394.86x = 5,092.34 × 2,232.29
  4. Step 4: Simplify right side
    3,394.86x = 11,367,543.04
  5. Step 5: Solve for x
    x = 11,367,543.04/3,394.86
  6. Step 6: Final answer
    x = 3,348.46

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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.