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Finding the Fourth Proportional to 3,223.98, 4,838.52 and 1,469.12

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Solution

The fourth proportional to 3,223.98, 4,838.52 and 1,469.12 is: 2,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.98 : 4,838.52 = 1,469.12 : x
  2. Step 2: Convert to fraction form
    3,223.98/4,838.52 = 1,469.12/x
  3. Step 3: Cross multiply
    3,223.98x = 4,838.52 × 1,469.12
  4. Step 4: Simplify right side
    3,223.98x = 7,108,366.50
  5. Step 5: Solve for x
    x = 7,108,366.50/3,223.98
  6. Step 6: Final answer
    x = 2,204.84

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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.