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Finding the Fourth Proportional to 3,413.80, 4,785.80 and 3,413.80

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Solution

The fourth proportional to 3,413.80, 4,785.80 and 3,413.80 is: 4,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.80 : 4,785.80 = 3,413.80 : x
  2. Step 2: Convert to fraction form
    3,413.80/4,785.80 = 3,413.80/x
  3. Step 3: Cross multiply
    3,413.80x = 4,785.80 × 3,413.80
  4. Step 4: Simplify right side
    3,413.80x = 16,337,764.04
  5. Step 5: Solve for x
    x = 16,337,764.04/3,413.80
  6. Step 6: Final answer
    x = 4,785.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.