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Finding the Fourth Proportional to 3,781.78, 5,668.77 and 2,739.16

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Solution

The fourth proportional to 3,781.78, 5,668.77 and 2,739.16 is: 4,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.78 : 5,668.77 = 2,739.16 : x
  2. Step 2: Convert to fraction form
    3,781.78/5,668.77 = 2,739.16/x
  3. Step 3: Cross multiply
    3,781.78x = 5,668.77 × 2,739.16
  4. Step 4: Simplify right side
    3,781.78x = 15,527,668.03
  5. Step 5: Solve for x
    x = 15,527,668.03/3,781.78
  6. Step 6: Final answer
    x = 4,105.92

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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.