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Finding the Fourth Proportional to 3,781, 5,668.26 and 3,085.84

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Solution

The fourth proportional to 3,781, 5,668.26 and 3,085.84 is: 4,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781 : 5,668.26 = 3,085.84 : x
  2. Step 2: Convert to fraction form
    3,781/5,668.26 = 3,085.84/x
  3. Step 3: Cross multiply
    3,781x = 5,668.26 × 3,085.84
  4. Step 4: Simplify right side
    3,781x = 17,491,343.44
  5. Step 5: Solve for x
    x = 17,491,343.44/3,781
  6. Step 6: Final answer
    x = 4,626.12

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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.