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Finding the Fourth Proportional to 5,769.14, 8,653.89 and 1,820.43

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Solution

The fourth proportional to 5,769.14, 8,653.89 and 1,820.43 is: 2,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.14 : 8,653.89 = 1,820.43 : x
  2. Step 2: Convert to fraction form
    5,769.14/8,653.89 = 1,820.43/x
  3. Step 3: Cross multiply
    5,769.14x = 8,653.89 × 1,820.43
  4. Step 4: Simplify right side
    5,769.14x = 15,753,800.97
  5. Step 5: Solve for x
    x = 15,753,800.97/5,769.14
  6. Step 6: Final answer
    x = 2,730.70

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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.