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Finding the Fourth Proportional to 5,468.26, 8,200.64 and 1,769.70

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Solution

The fourth proportional to 5,468.26, 8,200.64 and 1,769.70 is: 2,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.26 : 8,200.64 = 1,769.70 : x
  2. Step 2: Convert to fraction form
    5,468.26/8,200.64 = 1,769.70/x
  3. Step 3: Cross multiply
    5,468.26x = 8,200.64 × 1,769.70
  4. Step 4: Simplify right side
    5,468.26x = 14,512,672.61
  5. Step 5: Solve for x
    x = 14,512,672.61/5,468.26
  6. Step 6: Final answer
    x = 2,653.98

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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.