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Finding the Fourth Proportional to 4,229.38, 5,836.62 and 2,636.68

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Solution

The fourth proportional to 4,229.38, 5,836.62 and 2,636.68 is: 3,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.38 : 5,836.62 = 2,636.68 : x
  2. Step 2: Convert to fraction form
    4,229.38/5,836.62 = 2,636.68/x
  3. Step 3: Cross multiply
    4,229.38x = 5,836.62 × 2,636.68
  4. Step 4: Simplify right side
    4,229.38x = 15,389,299.22
  5. Step 5: Solve for x
    x = 15,389,299.22/4,229.38
  6. Step 6: Final answer
    x = 3,638.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.