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Finding the Fourth Proportional to 5,243.90, 7,857.54 and 3,161.19

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Solution

The fourth proportional to 5,243.90, 7,857.54 and 3,161.19 is: 4,736.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.90 : 7,857.54 = 3,161.19 : x
  2. Step 2: Convert to fraction form
    5,243.90/7,857.54 = 3,161.19/x
  3. Step 3: Cross multiply
    5,243.90x = 7,857.54 × 3,161.19
  4. Step 4: Simplify right side
    5,243.90x = 24,839,176.87
  5. Step 5: Solve for x
    x = 24,839,176.87/5,243.90
  6. Step 6: Final answer
    x = 4,736.77

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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.