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Finding the Fourth Proportional to 5,200.44, 7,806.06 and 3,013.44

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Solution

The fourth proportional to 5,200.44, 7,806.06 and 3,013.44 is: 4,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.44 : 7,806.06 = 3,013.44 : x
  2. Step 2: Convert to fraction form
    5,200.44/7,806.06 = 3,013.44/x
  3. Step 3: Cross multiply
    5,200.44x = 7,806.06 × 3,013.44
  4. Step 4: Simplify right side
    5,200.44x = 23,523,093.45
  5. Step 5: Solve for x
    x = 23,523,093.45/5,200.44
  6. Step 6: Final answer
    x = 4,523.29

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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.