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Finding the Fourth Proportional to 5,728.97, 7,906.01 and 3,211.07

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Solution

The fourth proportional to 5,728.97, 7,906.01 and 3,211.07 is: 4,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.97 : 7,906.01 = 3,211.07 : x
  2. Step 2: Convert to fraction form
    5,728.97/7,906.01 = 3,211.07/x
  3. Step 3: Cross multiply
    5,728.97x = 7,906.01 × 3,211.07
  4. Step 4: Simplify right side
    5,728.97x = 25,386,768.21
  5. Step 5: Solve for x
    x = 25,386,768.21/5,728.97
  6. Step 6: Final answer
    x = 4,431.30

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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.