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Finding the Fourth Proportional to 3,778.92, 5,215.19 and 2,100.63

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Solution

The fourth proportional to 3,778.92, 5,215.19 and 2,100.63 is: 2,899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.92 : 5,215.19 = 2,100.63 : x
  2. Step 2: Convert to fraction form
    3,778.92/5,215.19 = 2,100.63/x
  3. Step 3: Cross multiply
    3,778.92x = 5,215.19 × 2,100.63
  4. Step 4: Simplify right side
    3,778.92x = 10,955,193.62
  5. Step 5: Solve for x
    x = 10,955,193.62/3,778.92
  6. Step 6: Final answer
    x = 2,899.03

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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.