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Finding the Fourth Proportional to 3,413.16, 5,119.72 and 1,466.73

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Solution

The fourth proportional to 3,413.16, 5,119.72 and 1,466.73 is: 2,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.16 : 5,119.72 = 1,466.73 : x
  2. Step 2: Convert to fraction form
    3,413.16/5,119.72 = 1,466.73/x
  3. Step 3: Cross multiply
    3,413.16x = 5,119.72 × 1,466.73
  4. Step 4: Simplify right side
    3,413.16x = 7,509,246.92
  5. Step 5: Solve for x
    x = 7,509,246.92/3,413.16
  6. Step 6: Final answer
    x = 2,200.09

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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.