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Finding the Fourth Proportional to 5,761.28, 8,629.52 and 3,294.80

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Solution

The fourth proportional to 5,761.28, 8,629.52 and 3,294.80 is: 4,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.28 : 8,629.52 = 3,294.80 : x
  2. Step 2: Convert to fraction form
    5,761.28/8,629.52 = 3,294.80/x
  3. Step 3: Cross multiply
    5,761.28x = 8,629.52 × 3,294.80
  4. Step 4: Simplify right side
    5,761.28x = 28,432,542.50
  5. Step 5: Solve for x
    x = 28,432,542.50/5,761.28
  6. Step 6: Final answer
    x = 4,935.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.