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Finding the Fourth Proportional to 5,732.73, 7,910.19 and 3,214.44

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Solution

The fourth proportional to 5,732.73, 7,910.19 and 3,214.44 is: 4,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.73 : 7,910.19 = 3,214.44 : x
  2. Step 2: Convert to fraction form
    5,732.73/7,910.19 = 3,214.44/x
  3. Step 3: Cross multiply
    5,732.73x = 7,910.19 × 3,214.44
  4. Step 4: Simplify right side
    5,732.73x = 25,426,831.14
  5. Step 5: Solve for x
    x = 25,426,831.14/5,732.73
  6. Step 6: Final answer
    x = 4,435.38

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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.