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Finding the Fourth Proportional to 3,697.12, 5,540.82 and 2,052.82

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Solution

The fourth proportional to 3,697.12, 5,540.82 and 2,052.82 is: 3,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.12 : 5,540.82 = 2,052.82 : x
  2. Step 2: Convert to fraction form
    3,697.12/5,540.82 = 2,052.82/x
  3. Step 3: Cross multiply
    3,697.12x = 5,540.82 × 2,052.82
  4. Step 4: Simplify right side
    3,697.12x = 11,374,306.11
  5. Step 5: Solve for x
    x = 11,374,306.11/3,697.12
  6. Step 6: Final answer
    x = 3,076.53

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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.