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Finding the Fourth Proportional to 3,778.37, 5,214.78 and 3,147.90

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Solution

The fourth proportional to 3,778.37, 5,214.78 and 3,147.90 is: 4,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.37 : 5,214.78 = 3,147.90 : x
  2. Step 2: Convert to fraction form
    3,778.37/5,214.78 = 3,147.90/x
  3. Step 3: Cross multiply
    3,778.37x = 5,214.78 × 3,147.90
  4. Step 4: Simplify right side
    3,778.37x = 16,415,605.96
  5. Step 5: Solve for x
    x = 16,415,605.96/3,778.37
  6. Step 6: Final answer
    x = 4,344.63

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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.