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Finding the Fourth Proportional to 3,800.69, 5,700.81 and 1,027.15

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Solution

The fourth proportional to 3,800.69, 5,700.81 and 1,027.15 is: 1,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.69 : 5,700.81 = 1,027.15 : x
  2. Step 2: Convert to fraction form
    3,800.69/5,700.81 = 1,027.15/x
  3. Step 3: Cross multiply
    3,800.69x = 5,700.81 × 1,027.15
  4. Step 4: Simplify right side
    3,800.69x = 5,855,572.74
  5. Step 5: Solve for x
    x = 5,855,572.74/3,800.69
  6. Step 6: Final answer
    x = 1,540.66

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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.