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Finding the Fourth Proportional to 4,799.98, 7,198.07 and 2,027.98

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Solution

The fourth proportional to 4,799.98, 7,198.07 and 2,027.98 is: 3,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799.98 : 7,198.07 = 2,027.98 : x
  2. Step 2: Convert to fraction form
    4,799.98/7,198.07 = 2,027.98/x
  3. Step 3: Cross multiply
    4,799.98x = 7,198.07 × 2,027.98
  4. Step 4: Simplify right side
    4,799.98x = 14,597,542.00
  5. Step 5: Solve for x
    x = 14,597,542.00/4,799.98
  6. Step 6: Final answer
    x = 3,041.17

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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.