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Finding the Fourth Proportional to 3,413.79, 4,690.61 and 2,713.95

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Solution

The fourth proportional to 3,413.79, 4,690.61 and 2,713.95 is: 3,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.79 : 4,690.61 = 2,713.95 : x
  2. Step 2: Convert to fraction form
    3,413.79/4,690.61 = 2,713.95/x
  3. Step 3: Cross multiply
    3,413.79x = 4,690.61 × 2,713.95
  4. Step 4: Simplify right side
    3,413.79x = 12,730,081.01
  5. Step 5: Solve for x
    x = 12,730,081.01/3,413.79
  6. Step 6: Final answer
    x = 3,729.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.