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Finding the Fourth Proportional to 3,413.71, 5,120.55 and 1,951.83

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Solution

The fourth proportional to 3,413.71, 5,120.55 and 1,951.83 is: 2,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.71 : 5,120.55 = 1,951.83 : x
  2. Step 2: Convert to fraction form
    3,413.71/5,120.55 = 1,951.83/x
  3. Step 3: Cross multiply
    3,413.71x = 5,120.55 × 1,951.83
  4. Step 4: Simplify right side
    3,413.71x = 9,994,443.11
  5. Step 5: Solve for x
    x = 9,994,443.11/3,413.71
  6. Step 6: Final answer
    x = 2,927.74

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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.