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Finding the Fourth Proportional to 3,729.73, 5,147.19 and 2,157.73

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Solution

The fourth proportional to 3,729.73, 5,147.19 and 2,157.73 is: 2,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.73 : 5,147.19 = 2,157.73 : x
  2. Step 2: Convert to fraction form
    3,729.73/5,147.19 = 2,157.73/x
  3. Step 3: Cross multiply
    3,729.73x = 5,147.19 × 2,157.73
  4. Step 4: Simplify right side
    3,729.73x = 11,106,246.28
  5. Step 5: Solve for x
    x = 11,106,246.28/3,729.73
  6. Step 6: Final answer
    x = 2,977.76

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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.