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Finding the Fourth Proportional to 4,471.68, 6,168.74 and 2,979.74

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Solution

The fourth proportional to 4,471.68, 6,168.74 and 2,979.74 is: 4,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.68 : 6,168.74 = 2,979.74 : x
  2. Step 2: Convert to fraction form
    4,471.68/6,168.74 = 2,979.74/x
  3. Step 3: Cross multiply
    4,471.68x = 6,168.74 × 2,979.74
  4. Step 4: Simplify right side
    4,471.68x = 18,381,241.33
  5. Step 5: Solve for x
    x = 18,381,241.33/4,471.68
  6. Step 6: Final answer
    x = 4,110.59

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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.