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Finding the Fourth Proportional to 4,798.97, 7,197.66 and 3,408.09

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Solution

The fourth proportional to 4,798.97, 7,197.66 and 3,408.09 is: 5,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.97 : 7,197.66 = 3,408.09 : x
  2. Step 2: Convert to fraction form
    4,798.97/7,197.66 = 3,408.09/x
  3. Step 3: Cross multiply
    4,798.97x = 7,197.66 × 3,408.09
  4. Step 4: Simplify right side
    4,798.97x = 24,530,273.07
  5. Step 5: Solve for x
    x = 24,530,273.07/4,798.97
  6. Step 6: Final answer
    x = 5,111.58

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