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Finding the Fourth Proportional to 5,468.28, 8,200.53 and 1,769.55

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Solution

The fourth proportional to 5,468.28, 8,200.53 and 1,769.55 is: 2,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.28 : 8,200.53 = 1,769.55 : x
  2. Step 2: Convert to fraction form
    5,468.28/8,200.53 = 1,769.55/x
  3. Step 3: Cross multiply
    5,468.28x = 8,200.53 × 1,769.55
  4. Step 4: Simplify right side
    5,468.28x = 14,511,247.86
  5. Step 5: Solve for x
    x = 14,511,247.86/5,468.28
  6. Step 6: Final answer
    x = 2,653.71

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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.