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Finding the Fourth Proportional to 3,764.80, 5,638.20 and 2,029.60

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Solution

The fourth proportional to 3,764.80, 5,638.20 and 2,029.60 is: 3,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.80 : 5,638.20 = 2,029.60 : x
  2. Step 2: Convert to fraction form
    3,764.80/5,638.20 = 2,029.60/x
  3. Step 3: Cross multiply
    3,764.80x = 5,638.20 × 2,029.60
  4. Step 4: Simplify right side
    3,764.80x = 11,443,290.72
  5. Step 5: Solve for x
    x = 11,443,290.72/3,764.80
  6. Step 6: Final answer
    x = 3,039.55

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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.