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Finding the Fourth Proportional to 5,198.64, 7,801.92 and 1,912.56

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Solution

The fourth proportional to 5,198.64, 7,801.92 and 1,912.56 is: 2,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.64 : 7,801.92 = 1,912.56 : x
  2. Step 2: Convert to fraction form
    5,198.64/7,801.92 = 1,912.56/x
  3. Step 3: Cross multiply
    5,198.64x = 7,801.92 × 1,912.56
  4. Step 4: Simplify right side
    5,198.64x = 14,921,640.12
  5. Step 5: Solve for x
    x = 14,921,640.12/5,198.64
  6. Step 6: Final answer
    x = 2,870.30

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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.