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Finding the Fourth Proportional to 3,778.75, 5,215.50 and 2,100.73

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Solution

The fourth proportional to 3,778.75, 5,215.50 and 2,100.73 is: 2,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.75 : 5,215.50 = 2,100.73 : x
  2. Step 2: Convert to fraction form
    3,778.75/5,215.50 = 2,100.73/x
  3. Step 3: Cross multiply
    3,778.75x = 5,215.50 × 2,100.73
  4. Step 4: Simplify right side
    3,778.75x = 10,956,357.32
  5. Step 5: Solve for x
    x = 10,956,357.32/3,778.75
  6. Step 6: Final answer
    x = 2,899.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.