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Finding the Fourth Proportional to 3,764.56, 5,648.82 and 2,675.92

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Solution

The fourth proportional to 3,764.56, 5,648.82 and 2,675.92 is: 4,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.56 : 5,648.82 = 2,675.92 : x
  2. Step 2: Convert to fraction form
    3,764.56/5,648.82 = 2,675.92/x
  3. Step 3: Cross multiply
    3,764.56x = 5,648.82 × 2,675.92
  4. Step 4: Simplify right side
    3,764.56x = 15,115,790.41
  5. Step 5: Solve for x
    x = 15,115,790.41/3,764.56
  6. Step 6: Final answer
    x = 4,015.29

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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.