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Finding the Fourth Proportional to 5,668.12, 8,502.83 and 2,744.31

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Solution

The fourth proportional to 5,668.12, 8,502.83 and 2,744.31 is: 4,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.12 : 8,502.83 = 2,744.31 : x
  2. Step 2: Convert to fraction form
    5,668.12/8,502.83 = 2,744.31/x
  3. Step 3: Cross multiply
    5,668.12x = 8,502.83 × 2,744.31
  4. Step 4: Simplify right side
    5,668.12x = 23,334,401.40
  5. Step 5: Solve for x
    x = 23,334,401.40/5,668.12
  6. Step 6: Final answer
    x = 4,116.78

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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.