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Finding the Fourth Proportional to 6,441.38, 8,889.81 and 3,609.21

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Solution

The fourth proportional to 6,441.38, 8,889.81 and 3,609.21 is: 4,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.38 : 8,889.81 = 3,609.21 : x
  2. Step 2: Convert to fraction form
    6,441.38/8,889.81 = 3,609.21/x
  3. Step 3: Cross multiply
    6,441.38x = 8,889.81 × 3,609.21
  4. Step 4: Simplify right side
    6,441.38x = 32,085,191.15
  5. Step 5: Solve for x
    x = 32,085,191.15/6,441.38
  6. Step 6: Final answer
    x = 4,981.11

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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.