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Finding the Fourth Proportional to 6,624.38, 9,141.65 and 3,640.22

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Solution

The fourth proportional to 6,624.38, 9,141.65 and 3,640.22 is: 5,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.38 : 9,141.65 = 3,640.22 : x
  2. Step 2: Convert to fraction form
    6,624.38/9,141.65 = 3,640.22/x
  3. Step 3: Cross multiply
    6,624.38x = 9,141.65 × 3,640.22
  4. Step 4: Simplify right side
    6,624.38x = 33,277,617.16
  5. Step 5: Solve for x
    x = 33,277,617.16/6,624.38
  6. Step 6: Final answer
    x = 5,023.51

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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.