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Finding the Fourth Proportional to 5,468.24, 8,200.64 and 1,769.68

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Solution

The fourth proportional to 5,468.24, 8,200.64 and 1,769.68 is: 2,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.24 : 8,200.64 = 1,769.68 : x
  2. Step 2: Convert to fraction form
    5,468.24/8,200.64 = 1,769.68/x
  3. Step 3: Cross multiply
    5,468.24x = 8,200.64 × 1,769.68
  4. Step 4: Simplify right side
    5,468.24x = 14,512,508.60
  5. Step 5: Solve for x
    x = 14,512,508.60/5,468.24
  6. Step 6: Final answer
    x = 2,653.96

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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.