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Finding the Fourth Proportional to 5,912.76, 8,162.32 and 4,212.44

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Solution

The fourth proportional to 5,912.76, 8,162.32 and 4,212.44 is: 5,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.76 : 8,162.32 = 4,212.44 : x
  2. Step 2: Convert to fraction form
    5,912.76/8,162.32 = 4,212.44/x
  3. Step 3: Cross multiply
    5,912.76x = 8,162.32 × 4,212.44
  4. Step 4: Simplify right side
    5,912.76x = 34,383,283.26
  5. Step 5: Solve for x
    x = 34,383,283.26/5,912.76
  6. Step 6: Final answer
    x = 5,815.10

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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.