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Finding the Fourth Proportional to 4,863.42, 6,711.12 and 2,874.06

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Solution

The fourth proportional to 4,863.42, 6,711.12 and 2,874.06 is: 3,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.42 : 6,711.12 = 2,874.06 : x
  2. Step 2: Convert to fraction form
    4,863.42/6,711.12 = 2,874.06/x
  3. Step 3: Cross multiply
    4,863.42x = 6,711.12 × 2,874.06
  4. Step 4: Simplify right side
    4,863.42x = 19,288,161.55
  5. Step 5: Solve for x
    x = 19,288,161.55/4,863.42
  6. Step 6: Final answer
    x = 3,965.97

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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.