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Finding the Fourth Proportional to 3,763.20, 5,644.80 and 2,668.80

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Solution

The fourth proportional to 3,763.20, 5,644.80 and 2,668.80 is: 4,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.20 : 5,644.80 = 2,668.80 : x
  2. Step 2: Convert to fraction form
    3,763.20/5,644.80 = 2,668.80/x
  3. Step 3: Cross multiply
    3,763.20x = 5,644.80 × 2,668.80
  4. Step 4: Simplify right side
    3,763.20x = 15,064,842.24
  5. Step 5: Solve for x
    x = 15,064,842.24/3,763.20
  6. Step 6: Final answer
    x = 4,003.20

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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.