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Finding the Fourth Proportional to 5,729.46, 7,906.65 and 3,211.59

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Solution

The fourth proportional to 5,729.46, 7,906.65 and 3,211.59 is: 4,431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.46 : 7,906.65 = 3,211.59 : x
  2. Step 2: Convert to fraction form
    5,729.46/7,906.65 = 3,211.59/x
  3. Step 3: Cross multiply
    5,729.46x = 7,906.65 × 3,211.59
  4. Step 4: Simplify right side
    5,729.46x = 25,392,918.07
  5. Step 5: Solve for x
    x = 25,392,918.07/5,729.46
  6. Step 6: Final answer
    x = 4,431.99

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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.