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Finding the Fourth Proportional to 6,334.53, 8,741.67 and 3,682.44

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Solution

The fourth proportional to 6,334.53, 8,741.67 and 3,682.44 is: 5,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.53 : 8,741.67 = 3,682.44 : x
  2. Step 2: Convert to fraction form
    6,334.53/8,741.67 = 3,682.44/x
  3. Step 3: Cross multiply
    6,334.53x = 8,741.67 × 3,682.44
  4. Step 4: Simplify right side
    6,334.53x = 32,190,675.27
  5. Step 5: Solve for x
    x = 32,190,675.27/6,334.53
  6. Step 6: Final answer
    x = 5,081.78

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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.