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Finding the Fourth Proportional to 5,772.60, 8,659.16 and 1,769.69

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Solution

The fourth proportional to 5,772.60, 8,659.16 and 1,769.69 is: 2,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.60 : 8,659.16 = 1,769.69 : x
  2. Step 2: Convert to fraction form
    5,772.60/8,659.16 = 1,769.69/x
  3. Step 3: Cross multiply
    5,772.60x = 8,659.16 × 1,769.69
  4. Step 4: Simplify right side
    5,772.60x = 15,324,028.86
  5. Step 5: Solve for x
    x = 15,324,028.86/5,772.60
  6. Step 6: Final answer
    x = 2,654.61

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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.