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Finding the Fourth Proportional to 5,367.63, 8,049 and 1,668.78

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Solution

The fourth proportional to 5,367.63, 8,049 and 1,668.78 is: 2,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.63 : 8,049 = 1,668.78 : x
  2. Step 2: Convert to fraction form
    5,367.63/8,049 = 1,668.78/x
  3. Step 3: Cross multiply
    5,367.63x = 8,049 × 1,668.78
  4. Step 4: Simplify right side
    5,367.63x = 13,432,010.22
  5. Step 5: Solve for x
    x = 13,432,010.22/5,367.63
  6. Step 6: Final answer
    x = 2,502.41

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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.