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Finding the Fourth Proportional to 5,713.25, 7,885.37 and 3,229.25

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Solution

The fourth proportional to 5,713.25, 7,885.37 and 3,229.25 is: 4,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.25 : 7,885.37 = 3,229.25 : x
  2. Step 2: Convert to fraction form
    5,713.25/7,885.37 = 3,229.25/x
  3. Step 3: Cross multiply
    5,713.25x = 7,885.37 × 3,229.25
  4. Step 4: Simplify right side
    5,713.25x = 25,463,831.07
  5. Step 5: Solve for x
    x = 25,463,831.07/5,713.25
  6. Step 6: Final answer
    x = 4,456.98

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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.