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Finding the Fourth Proportional to 5,753.73, 7,940.94 and 3,364.44

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Solution

The fourth proportional to 5,753.73, 7,940.94 and 3,364.44 is: 4,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.73 : 7,940.94 = 3,364.44 : x
  2. Step 2: Convert to fraction form
    5,753.73/7,940.94 = 3,364.44/x
  3. Step 3: Cross multiply
    5,753.73x = 7,940.94 × 3,364.44
  4. Step 4: Simplify right side
    5,753.73x = 26,716,773.78
  5. Step 5: Solve for x
    x = 26,716,773.78/5,753.73
  6. Step 6: Final answer
    x = 4,643.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.