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Finding the Fourth Proportional to 3,592.68, 5,381.20 and 2,201.78

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Solution

The fourth proportional to 3,592.68, 5,381.20 and 2,201.78 is: 3,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.68 : 5,381.20 = 2,201.78 : x
  2. Step 2: Convert to fraction form
    3,592.68/5,381.20 = 2,201.78/x
  3. Step 3: Cross multiply
    3,592.68x = 5,381.20 × 2,201.78
  4. Step 4: Simplify right side
    3,592.68x = 11,848,218.54
  5. Step 5: Solve for x
    x = 11,848,218.54/3,592.68
  6. Step 6: Final answer
    x = 3,297.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.