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Finding the Fourth Proportional to 5,967.16, 8,234.58 and 3,449.24

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Solution

The fourth proportional to 5,967.16, 8,234.58 and 3,449.24 is: 4,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.16 : 8,234.58 = 3,449.24 : x
  2. Step 2: Convert to fraction form
    5,967.16/8,234.58 = 3,449.24/x
  3. Step 3: Cross multiply
    5,967.16x = 8,234.58 × 3,449.24
  4. Step 4: Simplify right side
    5,967.16x = 28,403,042.72
  5. Step 5: Solve for x
    x = 28,403,042.72/5,967.16
  6. Step 6: Final answer
    x = 4,759.89

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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.