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Finding the Fourth Proportional to 5,753, 7,939.14 and 3,269.48

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Solution

The fourth proportional to 5,753, 7,939.14 and 3,269.48 is: 4,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753 : 7,939.14 = 3,269.48 : x
  2. Step 2: Convert to fraction form
    5,753/7,939.14 = 3,269.48/x
  3. Step 3: Cross multiply
    5,753x = 7,939.14 × 3,269.48
  4. Step 4: Simplify right side
    5,753x = 25,956,859.45
  5. Step 5: Solve for x
    x = 25,956,859.45/5,753
  6. Step 6: Final answer
    x = 4,511.88

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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.