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Finding the Fourth Proportional to 5,741.64, 8,613.46 and 2,967.54

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Solution

The fourth proportional to 5,741.64, 8,613.46 and 2,967.54 is: 4,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.64 : 8,613.46 = 2,967.54 : x
  2. Step 2: Convert to fraction form
    5,741.64/8,613.46 = 2,967.54/x
  3. Step 3: Cross multiply
    5,741.64x = 8,613.46 × 2,967.54
  4. Step 4: Simplify right side
    5,741.64x = 25,560,787.09
  5. Step 5: Solve for x
    x = 25,560,787.09/5,741.64
  6. Step 6: Final answer
    x = 4,451.83

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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.