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Finding the Fourth Proportional to 3,408.44, 5,112.05 and 942.64

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Solution

The fourth proportional to 3,408.44, 5,112.05 and 942.64 is: 1,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.44 : 5,112.05 = 942.64 : x
  2. Step 2: Convert to fraction form
    3,408.44/5,112.05 = 942.64/x
  3. Step 3: Cross multiply
    3,408.44x = 5,112.05 × 942.64
  4. Step 4: Simplify right side
    3,408.44x = 4,818,805.32
  5. Step 5: Solve for x
    x = 4,818,805.32/3,408.44
  6. Step 6: Final answer
    x = 1,413.79

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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.