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Finding the Fourth Proportional to 5,220.98, 7,831.44 and 3,469.40

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Solution

The fourth proportional to 5,220.98, 7,831.44 and 3,469.40 is: 5,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.98 : 7,831.44 = 3,469.40 : x
  2. Step 2: Convert to fraction form
    5,220.98/7,831.44 = 3,469.40/x
  3. Step 3: Cross multiply
    5,220.98x = 7,831.44 × 3,469.40
  4. Step 4: Simplify right side
    5,220.98x = 27,170,397.94
  5. Step 5: Solve for x
    x = 27,170,397.94/5,220.98
  6. Step 6: Final answer
    x = 5,204.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.