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Finding the Fourth Proportional to 3,413.54, 5,114.81 and 2,866.79

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Solution

The fourth proportional to 3,413.54, 5,114.81 and 2,866.79 is: 4,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.54 : 5,114.81 = 2,866.79 : x
  2. Step 2: Convert to fraction form
    3,413.54/5,114.81 = 2,866.79/x
  3. Step 3: Cross multiply
    3,413.54x = 5,114.81 × 2,866.79
  4. Step 4: Simplify right side
    3,413.54x = 14,663,106.11
  5. Step 5: Solve for x
    x = 14,663,106.11/3,413.54
  6. Step 6: Final answer
    x = 4,295.57

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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.