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Finding the Fourth Proportional to 3,778.61, 5,214.60 and 2,100.13

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Solution

The fourth proportional to 3,778.61, 5,214.60 and 2,100.13 is: 2,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.61 : 5,214.60 = 2,100.13 : x
  2. Step 2: Convert to fraction form
    3,778.61/5,214.60 = 2,100.13/x
  3. Step 3: Cross multiply
    3,778.61x = 5,214.60 × 2,100.13
  4. Step 4: Simplify right side
    3,778.61x = 10,951,324.86
  5. Step 5: Solve for x
    x = 10,951,324.86/3,778.61
  6. Step 6: Final answer
    x = 2,898.25

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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.