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Finding the Fourth Proportional to 3,668.82, 5,499.98 and 1,910.13

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Solution

The fourth proportional to 3,668.82, 5,499.98 and 1,910.13 is: 2,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.82 : 5,499.98 = 1,910.13 : x
  2. Step 2: Convert to fraction form
    3,668.82/5,499.98 = 1,910.13/x
  3. Step 3: Cross multiply
    3,668.82x = 5,499.98 × 1,910.13
  4. Step 4: Simplify right side
    3,668.82x = 10,505,667.25
  5. Step 5: Solve for x
    x = 10,505,667.25/3,668.82
  6. Step 6: Final answer
    x = 2,863.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.