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Finding the Fourth Proportional to 5,754.25, 7,940.88 and 3,270.25

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Solution

The fourth proportional to 5,754.25, 7,940.88 and 3,270.25 is: 4,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.25 : 7,940.88 = 3,270.25 : x
  2. Step 2: Convert to fraction form
    5,754.25/7,940.88 = 3,270.25/x
  3. Step 3: Cross multiply
    5,754.25x = 7,940.88 × 3,270.25
  4. Step 4: Simplify right side
    5,754.25x = 25,968,662.82
  5. Step 5: Solve for x
    x = 25,968,662.82/5,754.25
  6. Step 6: Final answer
    x = 4,512.95

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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.