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Finding the Fourth Proportional to 5,333.57, 7,998.80 and 1,634.97

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Solution

The fourth proportional to 5,333.57, 7,998.80 and 1,634.97 is: 2,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.57 : 7,998.80 = 1,634.97 : x
  2. Step 2: Convert to fraction form
    5,333.57/7,998.80 = 1,634.97/x
  3. Step 3: Cross multiply
    5,333.57x = 7,998.80 × 1,634.97
  4. Step 4: Simplify right side
    5,333.57x = 13,077,789.86
  5. Step 5: Solve for x
    x = 13,077,789.86/5,333.57
  6. Step 6: Final answer
    x = 2,451.98

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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.