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Finding the Fourth Proportional to 5,613.91, 8,411.31 and 3,967.30

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Solution

The fourth proportional to 5,613.91, 8,411.31 and 3,967.30 is: 5,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.91 : 8,411.31 = 3,967.30 : x
  2. Step 2: Convert to fraction form
    5,613.91/8,411.31 = 3,967.30/x
  3. Step 3: Cross multiply
    5,613.91x = 8,411.31 × 3,967.30
  4. Step 4: Simplify right side
    5,613.91x = 33,370,190.16
  5. Step 5: Solve for x
    x = 33,370,190.16/5,613.91
  6. Step 6: Final answer
    x = 5,944.20

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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.