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Finding the Fourth Proportional to 3,892.07, 5,363.38 and 2,769.87

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Solution

The fourth proportional to 3,892.07, 5,363.38 and 2,769.87 is: 3,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.07 : 5,363.38 = 2,769.87 : x
  2. Step 2: Convert to fraction form
    3,892.07/5,363.38 = 2,769.87/x
  3. Step 3: Cross multiply
    3,892.07x = 5,363.38 × 2,769.87
  4. Step 4: Simplify right side
    3,892.07x = 14,855,865.36
  5. Step 5: Solve for x
    x = 14,855,865.36/3,892.07
  6. Step 6: Final answer
    x = 3,816.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.