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Finding the Fourth Proportional to 3,668.86, 5,063.07 and 2,012.86

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Solution

The fourth proportional to 3,668.86, 5,063.07 and 2,012.86 is: 2,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.86 : 5,063.07 = 2,012.86 : x
  2. Step 2: Convert to fraction form
    3,668.86/5,063.07 = 2,012.86/x
  3. Step 3: Cross multiply
    3,668.86x = 5,063.07 × 2,012.86
  4. Step 4: Simplify right side
    3,668.86x = 10,191,251.08
  5. Step 5: Solve for x
    x = 10,191,251.08/3,668.86
  6. Step 6: Final answer
    x = 2,777.77

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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.