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Finding the Fourth Proportional to 3,769.36, 5,204.31 and 2,883.62

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Solution

The fourth proportional to 3,769.36, 5,204.31 and 2,883.62 is: 3,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.36 : 5,204.31 = 2,883.62 : x
  2. Step 2: Convert to fraction form
    3,769.36/5,204.31 = 2,883.62/x
  3. Step 3: Cross multiply
    3,769.36x = 5,204.31 × 2,883.62
  4. Step 4: Simplify right side
    3,769.36x = 15,007,252.40
  5. Step 5: Solve for x
    x = 15,007,252.40/3,769.36
  6. Step 6: Final answer
    x = 3,981.38

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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.