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Finding the Fourth Proportional to 4,863.38, 7,297.50 and 1,944.14

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Solution

The fourth proportional to 4,863.38, 7,297.50 and 1,944.14 is: 2,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.38 : 7,297.50 = 1,944.14 : x
  2. Step 2: Convert to fraction form
    4,863.38/7,297.50 = 1,944.14/x
  3. Step 3: Cross multiply
    4,863.38x = 7,297.50 × 1,944.14
  4. Step 4: Simplify right side
    4,863.38x = 14,187,361.65
  5. Step 5: Solve for x
    x = 14,187,361.65/4,863.38
  6. Step 6: Final answer
    x = 2,917.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.