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Finding the Fourth Proportional to 3,687.99, 5,091.17 and 2,362.47

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Solution

The fourth proportional to 3,687.99, 5,091.17 and 2,362.47 is: 3,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.99 : 5,091.17 = 2,362.47 : x
  2. Step 2: Convert to fraction form
    3,687.99/5,091.17 = 2,362.47/x
  3. Step 3: Cross multiply
    3,687.99x = 5,091.17 × 2,362.47
  4. Step 4: Simplify right side
    3,687.99x = 12,027,736.39
  5. Step 5: Solve for x
    x = 12,027,736.39/3,687.99
  6. Step 6: Final answer
    x = 3,261.33

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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.