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Finding the Fourth Proportional to 3,408.42, 5,111.96 and 942.64

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Solution

The fourth proportional to 3,408.42, 5,111.96 and 942.64 is: 1,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.42 : 5,111.96 = 942.64 : x
  2. Step 2: Convert to fraction form
    3,408.42/5,111.96 = 942.64/x
  3. Step 3: Cross multiply
    3,408.42x = 5,111.96 × 942.64
  4. Step 4: Simplify right side
    3,408.42x = 4,818,737.97
  5. Step 5: Solve for x
    x = 4,818,737.97/3,408.42
  6. Step 6: Final answer
    x = 1,413.77

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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.