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Finding the Fourth Proportional to 3,492.22, 5,223.68 and 3,229.78

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Solution

The fourth proportional to 3,492.22, 5,223.68 and 3,229.78 is: 4,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.22 : 5,223.68 = 3,229.78 : x
  2. Step 2: Convert to fraction form
    3,492.22/5,223.68 = 3,229.78/x
  3. Step 3: Cross multiply
    3,492.22x = 5,223.68 × 3,229.78
  4. Step 4: Simplify right side
    3,492.22x = 16,871,294.92
  5. Step 5: Solve for x
    x = 16,871,294.92/3,492.22
  6. Step 6: Final answer
    x = 4,831.12

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Why These Related Problems?

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