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Finding the Fourth Proportional to 3,769.74, 5,203.17 and 2,278.80

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Solution

The fourth proportional to 3,769.74, 5,203.17 and 2,278.80 is: 3,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.74 : 5,203.17 = 2,278.80 : x
  2. Step 2: Convert to fraction form
    3,769.74/5,203.17 = 2,278.80/x
  3. Step 3: Cross multiply
    3,769.74x = 5,203.17 × 2,278.80
  4. Step 4: Simplify right side
    3,769.74x = 11,856,983.80
  5. Step 5: Solve for x
    x = 11,856,983.80/3,769.74
  6. Step 6: Final answer
    x = 3,145.31

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