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Finding the Fourth Proportional to 5,469.53, 8,204.22 and 1,771.67

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Solution

The fourth proportional to 5,469.53, 8,204.22 and 1,771.67 is: 2,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.53 : 8,204.22 = 1,771.67 : x
  2. Step 2: Convert to fraction form
    5,469.53/8,204.22 = 1,771.67/x
  3. Step 3: Cross multiply
    5,469.53x = 8,204.22 × 1,771.67
  4. Step 4: Simplify right side
    5,469.53x = 14,535,129.43
  5. Step 5: Solve for x
    x = 14,535,129.43/5,469.53
  6. Step 6: Final answer
    x = 2,657.48

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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.