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Finding the Fourth Proportional to 5,409.89, 7,454.57 and 3,991.33

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Solution

The fourth proportional to 5,409.89, 7,454.57 and 3,991.33 is: 5,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.89 : 7,454.57 = 3,991.33 : x
  2. Step 2: Convert to fraction form
    5,409.89/7,454.57 = 3,991.33/x
  3. Step 3: Cross multiply
    5,409.89x = 7,454.57 × 3,991.33
  4. Step 4: Simplify right side
    5,409.89x = 29,753,648.88
  5. Step 5: Solve for x
    x = 29,753,648.88/5,409.89
  6. Step 6: Final answer
    x = 5,499.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.