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Finding the Fourth Proportional to 5,202.86, 7,790.36 and 2,732.49

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Solution

The fourth proportional to 5,202.86, 7,790.36 and 2,732.49 is: 4,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.86 : 7,790.36 = 2,732.49 : x
  2. Step 2: Convert to fraction form
    5,202.86/7,790.36 = 2,732.49/x
  3. Step 3: Cross multiply
    5,202.86x = 7,790.36 × 2,732.49
  4. Step 4: Simplify right side
    5,202.86x = 21,287,067.13
  5. Step 5: Solve for x
    x = 21,287,067.13/5,202.86
  6. Step 6: Final answer
    x = 4,091.42

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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.