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Finding the Fourth Proportional to 3,640.13, 5,023.37 and 1,984.13

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Solution

The fourth proportional to 3,640.13, 5,023.37 and 1,984.13 is: 2,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.13 : 5,023.37 = 1,984.13 : x
  2. Step 2: Convert to fraction form
    3,640.13/5,023.37 = 1,984.13/x
  3. Step 3: Cross multiply
    3,640.13x = 5,023.37 × 1,984.13
  4. Step 4: Simplify right side
    3,640.13x = 9,966,998.96
  5. Step 5: Solve for x
    x = 9,966,998.96/3,640.13
  6. Step 6: Final answer
    x = 2,738.09

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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.