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Finding the Fourth Proportional to 6,138.56, 8,471.22 and 3,344.06

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Solution

The fourth proportional to 6,138.56, 8,471.22 and 3,344.06 is: 4,614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.56 : 8,471.22 = 3,344.06 : x
  2. Step 2: Convert to fraction form
    6,138.56/8,471.22 = 3,344.06/x
  3. Step 3: Cross multiply
    6,138.56x = 8,471.22 × 3,344.06
  4. Step 4: Simplify right side
    6,138.56x = 28,328,276.59
  5. Step 5: Solve for x
    x = 28,328,276.59/6,138.56
  6. Step 6: Final answer
    x = 4,614.81

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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.