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Finding the Fourth Proportional to 3,458.21, 5,187.24 and 992.97

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Solution

The fourth proportional to 3,458.21, 5,187.24 and 992.97 is: 1,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.21 : 5,187.24 = 992.97 : x
  2. Step 2: Convert to fraction form
    3,458.21/5,187.24 = 992.97/x
  3. Step 3: Cross multiply
    3,458.21x = 5,187.24 × 992.97
  4. Step 4: Simplify right side
    3,458.21x = 5,150,773.70
  5. Step 5: Solve for x
    x = 5,150,773.70/3,458.21
  6. Step 6: Final answer
    x = 1,489.44

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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.