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Finding the Fourth Proportional to 3,640.69, 5,023.38 and 2,313.91

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Solution

The fourth proportional to 3,640.69, 5,023.38 and 2,313.91 is: 3,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.69 : 5,023.38 = 2,313.91 : x
  2. Step 2: Convert to fraction form
    3,640.69/5,023.38 = 2,313.91/x
  3. Step 3: Cross multiply
    3,640.69x = 5,023.38 × 2,313.91
  4. Step 4: Simplify right side
    3,640.69x = 11,623,664.17
  5. Step 5: Solve for x
    x = 11,623,664.17/3,640.69
  6. Step 6: Final answer
    x = 3,192.71

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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.