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Finding the Fourth Proportional to 5,194.72, 7,794.96 and 2,116

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Solution

The fourth proportional to 5,194.72, 7,794.96 and 2,116 is: 3,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.72 : 7,794.96 = 2,116 : x
  2. Step 2: Convert to fraction form
    5,194.72/7,794.96 = 2,116/x
  3. Step 3: Cross multiply
    5,194.72x = 7,794.96 × 2,116
  4. Step 4: Simplify right side
    5,194.72x = 16,494,135.36
  5. Step 5: Solve for x
    x = 16,494,135.36/5,194.72
  6. Step 6: Final answer
    x = 3,175.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.