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Finding the Fourth Proportional to 5,753.50, 7,939.83 and 3,269.50

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Solution

The fourth proportional to 5,753.50, 7,939.83 and 3,269.50 is: 4,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.50 : 7,939.83 = 3,269.50 : x
  2. Step 2: Convert to fraction form
    5,753.50/7,939.83 = 3,269.50/x
  3. Step 3: Cross multiply
    5,753.50x = 7,939.83 × 3,269.50
  4. Step 4: Simplify right side
    5,753.50x = 25,959,274.19
  5. Step 5: Solve for x
    x = 25,959,274.19/5,753.50
  6. Step 6: Final answer
    x = 4,511.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.