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Finding the Fourth Proportional to 6,185.92, 9,282.54 and 2,489.80

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Solution

The fourth proportional to 6,185.92, 9,282.54 and 2,489.80 is: 3,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.92 : 9,282.54 = 2,489.80 : x
  2. Step 2: Convert to fraction form
    6,185.92/9,282.54 = 2,489.80/x
  3. Step 3: Cross multiply
    6,185.92x = 9,282.54 × 2,489.80
  4. Step 4: Simplify right side
    6,185.92x = 23,111,668.09
  5. Step 5: Solve for x
    x = 23,111,668.09/6,185.92
  6. Step 6: Final answer
    x = 3,736.17

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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.