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Finding the Fourth Proportional to 5,452.92, 8,180.70 and 1,755.50

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Solution

The fourth proportional to 5,452.92, 8,180.70 and 1,755.50 is: 2,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.92 : 8,180.70 = 1,755.50 : x
  2. Step 2: Convert to fraction form
    5,452.92/8,180.70 = 1,755.50/x
  3. Step 3: Cross multiply
    5,452.92x = 8,180.70 × 1,755.50
  4. Step 4: Simplify right side
    5,452.92x = 14,361,218.85
  5. Step 5: Solve for x
    x = 14,361,218.85/5,452.92
  6. Step 6: Final answer
    x = 2,633.67

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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.