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Finding the Fourth Proportional to 5,227.86, 7,839.75 and 1,895.32

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Solution

The fourth proportional to 5,227.86, 7,839.75 and 1,895.32 is: 2,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.86 : 7,839.75 = 1,895.32 : x
  2. Step 2: Convert to fraction form
    5,227.86/7,839.75 = 1,895.32/x
  3. Step 3: Cross multiply
    5,227.86x = 7,839.75 × 1,895.32
  4. Step 4: Simplify right side
    5,227.86x = 14,858,832.86
  5. Step 5: Solve for x
    x = 14,858,832.86/5,227.86
  6. Step 6: Final answer
    x = 2,842.24

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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.