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Finding the Fourth Proportional to 5,469.50, 8,205.30 and 2,349.50

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Solution

The fourth proportional to 5,469.50, 8,205.30 and 2,349.50 is: 3,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.50 : 8,205.30 = 2,349.50 : x
  2. Step 2: Convert to fraction form
    5,469.50/8,205.30 = 2,349.50/x
  3. Step 3: Cross multiply
    5,469.50x = 8,205.30 × 2,349.50
  4. Step 4: Simplify right side
    5,469.50x = 19,278,352.35
  5. Step 5: Solve for x
    x = 19,278,352.35/5,469.50
  6. Step 6: Final answer
    x = 3,524.70

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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.