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Finding the Fourth Proportional to 3,854.45, 5,769.15 and 2,002.92

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Solution

The fourth proportional to 3,854.45, 5,769.15 and 2,002.92 is: 2,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.45 : 5,769.15 = 2,002.92 : x
  2. Step 2: Convert to fraction form
    3,854.45/5,769.15 = 2,002.92/x
  3. Step 3: Cross multiply
    3,854.45x = 5,769.15 × 2,002.92
  4. Step 4: Simplify right side
    3,854.45x = 11,555,145.92
  5. Step 5: Solve for x
    x = 11,555,145.92/3,854.45
  6. Step 6: Final answer
    x = 2,997.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.