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Finding the Fourth Proportional to 4,798.94, 7,198.41 and 2,745.50

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Solution

The fourth proportional to 4,798.94, 7,198.41 and 2,745.50 is: 4,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.94 : 7,198.41 = 2,745.50 : x
  2. Step 2: Convert to fraction form
    4,798.94/7,198.41 = 2,745.50/x
  3. Step 3: Cross multiply
    4,798.94x = 7,198.41 × 2,745.50
  4. Step 4: Simplify right side
    4,798.94x = 19,763,234.66
  5. Step 5: Solve for x
    x = 19,763,234.66/4,798.94
  6. Step 6: Final answer
    x = 4,118.25

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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.