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Finding the Fourth Proportional to 6,333.66, 8,741.54 and 3,682.62

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Solution

The fourth proportional to 6,333.66, 8,741.54 and 3,682.62 is: 5,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.66 : 8,741.54 = 3,682.62 : x
  2. Step 2: Convert to fraction form
    6,333.66/8,741.54 = 3,682.62/x
  3. Step 3: Cross multiply
    6,333.66x = 8,741.54 × 3,682.62
  4. Step 4: Simplify right side
    6,333.66x = 32,191,770.03
  5. Step 5: Solve for x
    x = 32,191,770.03/6,333.66
  6. Step 6: Final answer
    x = 5,082.65

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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.