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Finding the Fourth Proportional to 5,252.86, 7,879.42 and 1,357.25

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Solution

The fourth proportional to 5,252.86, 7,879.42 and 1,357.25 is: 2,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.86 : 7,879.42 = 1,357.25 : x
  2. Step 2: Convert to fraction form
    5,252.86/7,879.42 = 1,357.25/x
  3. Step 3: Cross multiply
    5,252.86x = 7,879.42 × 1,357.25
  4. Step 4: Simplify right side
    5,252.86x = 10,694,342.80
  5. Step 5: Solve for x
    x = 10,694,342.80/5,252.86
  6. Step 6: Final answer
    x = 2,035.91

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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.