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Finding the Fourth Proportional to 3,778.67, 5,214.41 and 2,100.15

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Solution

The fourth proportional to 3,778.67, 5,214.41 and 2,100.15 is: 2,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.67 : 5,214.41 = 2,100.15 : x
  2. Step 2: Convert to fraction form
    3,778.67/5,214.41 = 2,100.15/x
  3. Step 3: Cross multiply
    3,778.67x = 5,214.41 × 2,100.15
  4. Step 4: Simplify right side
    3,778.67x = 10,951,043.16
  5. Step 5: Solve for x
    x = 10,951,043.16/3,778.67
  6. Step 6: Final answer
    x = 2,898.12

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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.