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Finding the Fourth Proportional to 5,200.97, 7,177.16 and 3,076.88

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Solution

The fourth proportional to 5,200.97, 7,177.16 and 3,076.88 is: 4,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.97 : 7,177.16 = 3,076.88 : x
  2. Step 2: Convert to fraction form
    5,200.97/7,177.16 = 3,076.88/x
  3. Step 3: Cross multiply
    5,200.97x = 7,177.16 × 3,076.88
  4. Step 4: Simplify right side
    5,200.97x = 22,083,244.68
  5. Step 5: Solve for x
    x = 22,083,244.68/5,200.97
  6. Step 6: Final answer
    x = 4,245.99

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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.