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Finding the Fourth Proportional to 4,638.33, 6,949.85 and 3,406.23

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Solution

The fourth proportional to 4,638.33, 6,949.85 and 3,406.23 is: 5,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.33 : 6,949.85 = 3,406.23 : x
  2. Step 2: Convert to fraction form
    4,638.33/6,949.85 = 3,406.23/x
  3. Step 3: Cross multiply
    4,638.33x = 6,949.85 × 3,406.23
  4. Step 4: Simplify right side
    4,638.33x = 23,672,770.53
  5. Step 5: Solve for x
    x = 23,672,770.53/4,638.33
  6. Step 6: Final answer
    x = 5,103.73

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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.