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Finding the Fourth Proportional to 5,770.44, 7,961.76 and 3,413.34

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Solution

The fourth proportional to 5,770.44, 7,961.76 and 3,413.34 is: 4,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.44 : 7,961.76 = 3,413.34 : x
  2. Step 2: Convert to fraction form
    5,770.44/7,961.76 = 3,413.34/x
  3. Step 3: Cross multiply
    5,770.44x = 7,961.76 × 3,413.34
  4. Step 4: Simplify right side
    5,770.44x = 27,176,193.88
  5. Step 5: Solve for x
    x = 27,176,193.88/5,770.44
  6. Step 6: Final answer
    x = 4,709.55

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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.