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Finding the Fourth Proportional to 3,770.62, 5,204.05 and 2,278.76

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Solution

The fourth proportional to 3,770.62, 5,204.05 and 2,278.76 is: 3,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.62 : 5,204.05 = 2,278.76 : x
  2. Step 2: Convert to fraction form
    3,770.62/5,204.05 = 2,278.76/x
  3. Step 3: Cross multiply
    3,770.62x = 5,204.05 × 2,278.76
  4. Step 4: Simplify right side
    3,770.62x = 11,858,749.26
  5. Step 5: Solve for x
    x = 11,858,749.26/3,770.62
  6. Step 6: Final answer
    x = 3,145.04

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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.