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Finding the Fourth Proportional to 8,820.50, 13,231.49 and 3,823.20

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Solution

The fourth proportional to 8,820.50, 13,231.49 and 3,823.20 is: 5,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,820.50 : 13,231.49 = 3,823.20 : x
  2. Step 2: Convert to fraction form
    8,820.50/13,231.49 = 3,823.20/x
  3. Step 3: Cross multiply
    8,820.50x = 13,231.49 × 3,823.20
  4. Step 4: Simplify right side
    8,820.50x = 50,586,613.45
  5. Step 5: Solve for x
    x = 50,586,613.45/8,820.50
  6. Step 6: Final answer
    x = 5,735.12

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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.