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Finding the Fourth Proportional to 4,961.50, 6,846.75 and 3,193.10

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Solution

The fourth proportional to 4,961.50, 6,846.75 and 3,193.10 is: 4,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.50 : 6,846.75 = 3,193.10 : x
  2. Step 2: Convert to fraction form
    4,961.50/6,846.75 = 3,193.10/x
  3. Step 3: Cross multiply
    4,961.50x = 6,846.75 × 3,193.10
  4. Step 4: Simplify right side
    4,961.50x = 21,862,357.43
  5. Step 5: Solve for x
    x = 21,862,357.43/4,961.50
  6. Step 6: Final answer
    x = 4,406.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.