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Finding the Fourth Proportional to 3,769.76, 5,202.36 and 2,068.36

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Solution

The fourth proportional to 3,769.76, 5,202.36 and 2,068.36 is: 2,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.76 : 5,202.36 = 2,068.36 : x
  2. Step 2: Convert to fraction form
    3,769.76/5,202.36 = 2,068.36/x
  3. Step 3: Cross multiply
    3,769.76x = 5,202.36 × 2,068.36
  4. Step 4: Simplify right side
    3,769.76x = 10,760,353.33
  5. Step 5: Solve for x
    x = 10,760,353.33/3,769.76
  6. Step 6: Final answer
    x = 2,854.39

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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.