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Finding the Fourth Proportional to 5,997.16, 8,276.12 and 3,344.74

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Solution

The fourth proportional to 5,997.16, 8,276.12 and 3,344.74 is: 4,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.16 : 8,276.12 = 3,344.74 : x
  2. Step 2: Convert to fraction form
    5,997.16/8,276.12 = 3,344.74/x
  3. Step 3: Cross multiply
    5,997.16x = 8,276.12 × 3,344.74
  4. Step 4: Simplify right side
    5,997.16x = 27,681,469.61
  5. Step 5: Solve for x
    x = 27,681,469.61/5,997.16
  6. Step 6: Final answer
    x = 4,615.76

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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.