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Finding the Fourth Proportional to 3,668.73, 5,047.83 and 3,169.77

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Solution

The fourth proportional to 3,668.73, 5,047.83 and 3,169.77 is: 4,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.73 : 5,047.83 = 3,169.77 : x
  2. Step 2: Convert to fraction form
    3,668.73/5,047.83 = 3,169.77/x
  3. Step 3: Cross multiply
    3,668.73x = 5,047.83 × 3,169.77
  4. Step 4: Simplify right side
    3,668.73x = 16,000,460.10
  5. Step 5: Solve for x
    x = 16,000,460.10/3,668.73
  6. Step 6: Final answer
    x = 4,361.31

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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.