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Finding the Fourth Proportional to 5,771.48, 7,964.60 and 3,413.57

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Solution

The fourth proportional to 5,771.48, 7,964.60 and 3,413.57 is: 4,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.48 : 7,964.60 = 3,413.57 : x
  2. Step 2: Convert to fraction form
    5,771.48/7,964.60 = 3,413.57/x
  3. Step 3: Cross multiply
    5,771.48x = 7,964.60 × 3,413.57
  4. Step 4: Simplify right side
    5,771.48x = 27,187,662.73
  5. Step 5: Solve for x
    x = 27,187,662.73/5,771.48
  6. Step 6: Final answer
    x = 4,710.70

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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.