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Finding the Fourth Proportional to 5,234.76, 7,852.41 and 2,072.22

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Solution

The fourth proportional to 5,234.76, 7,852.41 and 2,072.22 is: 3,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.76 : 7,852.41 = 2,072.22 : x
  2. Step 2: Convert to fraction form
    5,234.76/7,852.41 = 2,072.22/x
  3. Step 3: Cross multiply
    5,234.76x = 7,852.41 × 2,072.22
  4. Step 4: Simplify right side
    5,234.76x = 16,271,891.60
  5. Step 5: Solve for x
    x = 16,271,891.60/5,234.76
  6. Step 6: Final answer
    x = 3,108.43

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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.