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Finding the Fourth Proportional to 5,676.50, 7,834.05 and 3,192.98

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Solution

The fourth proportional to 5,676.50, 7,834.05 and 3,192.98 is: 4,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.50 : 7,834.05 = 3,192.98 : x
  2. Step 2: Convert to fraction form
    5,676.50/7,834.05 = 3,192.98/x
  3. Step 3: Cross multiply
    5,676.50x = 7,834.05 × 3,192.98
  4. Step 4: Simplify right side
    5,676.50x = 25,013,964.97
  5. Step 5: Solve for x
    x = 25,013,964.97/5,676.50
  6. Step 6: Final answer
    x = 4,406.58

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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.