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Finding the Fourth Proportional to 5,221.13, 7,205.17 and 2,831.14

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Solution

The fourth proportional to 5,221.13, 7,205.17 and 2,831.14 is: 3,906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.13 : 7,205.17 = 2,831.14 : x
  2. Step 2: Convert to fraction form
    5,221.13/7,205.17 = 2,831.14/x
  3. Step 3: Cross multiply
    5,221.13x = 7,205.17 × 2,831.14
  4. Step 4: Simplify right side
    5,221.13x = 20,398,811.70
  5. Step 5: Solve for x
    x = 20,398,811.70/5,221.13
  6. Step 6: Final answer
    x = 3,906.98

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