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Finding the Fourth Proportional to 6,138.46, 8,471.05 and 3,343.96

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Solution

The fourth proportional to 6,138.46, 8,471.05 and 3,343.96 is: 4,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.46 : 8,471.05 = 3,343.96 : x
  2. Step 2: Convert to fraction form
    6,138.46/8,471.05 = 3,343.96/x
  3. Step 3: Cross multiply
    6,138.46x = 8,471.05 × 3,343.96
  4. Step 4: Simplify right side
    6,138.46x = 28,326,852.36
  5. Step 5: Solve for x
    x = 28,326,852.36/6,138.46
  6. Step 6: Final answer
    x = 4,614.65

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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.