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Finding the Fourth Proportional to 4,674.89, 6,443.83 and 3,413.95

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Solution

The fourth proportional to 4,674.89, 6,443.83 and 3,413.95 is: 4,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.89 : 6,443.83 = 3,413.95 : x
  2. Step 2: Convert to fraction form
    4,674.89/6,443.83 = 3,413.95/x
  3. Step 3: Cross multiply
    4,674.89x = 6,443.83 × 3,413.95
  4. Step 4: Simplify right side
    4,674.89x = 21,998,888.78
  5. Step 5: Solve for x
    x = 21,998,888.78/4,674.89
  6. Step 6: Final answer
    x = 4,705.75

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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.