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Finding the Fourth Proportional to 5,933.73, 8,180.37 and 4,742.73

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Solution

The fourth proportional to 5,933.73, 8,180.37 and 4,742.73 is: 6,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.73 : 8,180.37 = 4,742.73 : x
  2. Step 2: Convert to fraction form
    5,933.73/8,180.37 = 4,742.73/x
  3. Step 3: Cross multiply
    5,933.73x = 8,180.37 × 4,742.73
  4. Step 4: Simplify right side
    5,933.73x = 38,797,286.21
  5. Step 5: Solve for x
    x = 38,797,286.21/5,933.73
  6. Step 6: Final answer
    x = 6,538.43

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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.