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Finding the Fourth Proportional to 4,834.50, 6,672.42 and 2,738.22

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Solution

The fourth proportional to 4,834.50, 6,672.42 and 2,738.22 is: 3,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.50 : 6,672.42 = 2,738.22 : x
  2. Step 2: Convert to fraction form
    4,834.50/6,672.42 = 2,738.22/x
  3. Step 3: Cross multiply
    4,834.50x = 6,672.42 × 2,738.22
  4. Step 4: Simplify right side
    4,834.50x = 18,270,553.89
  5. Step 5: Solve for x
    x = 18,270,553.89/4,834.50
  6. Step 6: Final answer
    x = 3,779.20

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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.