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Finding the Fourth Proportional to 5,967.24, 8,234.64 and 3,314.88

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Solution

The fourth proportional to 5,967.24, 8,234.64 and 3,314.88 is: 4,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.24 : 8,234.64 = 3,314.88 : x
  2. Step 2: Convert to fraction form
    5,967.24/8,234.64 = 3,314.88/x
  3. Step 3: Cross multiply
    5,967.24x = 8,234.64 × 3,314.88
  4. Step 4: Simplify right side
    5,967.24x = 27,296,843.44
  5. Step 5: Solve for x
    x = 27,296,843.44/5,967.24
  6. Step 6: Final answer
    x = 4,574.45

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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.