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Finding the Fourth Proportional to 3,469.70, 5,204.70 and 3,223.67

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Solution

The fourth proportional to 3,469.70, 5,204.70 and 3,223.67 is: 4,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.70 : 5,204.70 = 3,223.67 : x
  2. Step 2: Convert to fraction form
    3,469.70/5,204.70 = 3,223.67/x
  3. Step 3: Cross multiply
    3,469.70x = 5,204.70 × 3,223.67
  4. Step 4: Simplify right side
    3,469.70x = 16,778,209.23
  5. Step 5: Solve for x
    x = 16,778,209.23/3,469.70
  6. Step 6: Final answer
    x = 4,835.64

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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.