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Finding the Fourth Proportional to 5,831.21, 8,040.97 and 3,839.22

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Solution

The fourth proportional to 5,831.21, 8,040.97 and 3,839.22 is: 5,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.21 : 8,040.97 = 3,839.22 : x
  2. Step 2: Convert to fraction form
    5,831.21/8,040.97 = 3,839.22/x
  3. Step 3: Cross multiply
    5,831.21x = 8,040.97 × 3,839.22
  4. Step 4: Simplify right side
    5,831.21x = 30,871,052.84
  5. Step 5: Solve for x
    x = 30,871,052.84/5,831.21
  6. Step 6: Final answer
    x = 5,294.11

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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.