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Finding the Fourth Proportional to 4,138.41, 6,208.89 and 1,327.66

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Solution

The fourth proportional to 4,138.41, 6,208.89 and 1,327.66 is: 1,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.41 : 6,208.89 = 1,327.66 : x
  2. Step 2: Convert to fraction form
    4,138.41/6,208.89 = 1,327.66/x
  3. Step 3: Cross multiply
    4,138.41x = 6,208.89 × 1,327.66
  4. Step 4: Simplify right side
    4,138.41x = 8,243,294.90
  5. Step 5: Solve for x
    x = 8,243,294.90/4,138.41
  6. Step 6: Final answer
    x = 1,991.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.