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Finding the Fourth Proportional to 3,770.49, 5,203.41 and 2,278.11

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Solution

The fourth proportional to 3,770.49, 5,203.41 and 2,278.11 is: 3,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.49 : 5,203.41 = 2,278.11 : x
  2. Step 2: Convert to fraction form
    3,770.49/5,203.41 = 2,278.11/x
  3. Step 3: Cross multiply
    3,770.49x = 5,203.41 × 2,278.11
  4. Step 4: Simplify right side
    3,770.49x = 11,853,940.36
  5. Step 5: Solve for x
    x = 11,853,940.36/3,770.49
  6. Step 6: Final answer
    x = 3,143.87

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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.