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Finding the Fourth Proportional to 3,413.55, 5,120.33 and 2,866.80

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Solution

The fourth proportional to 3,413.55, 5,120.33 and 2,866.80 is: 4,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.55 : 5,120.33 = 2,866.80 : x
  2. Step 2: Convert to fraction form
    3,413.55/5,120.33 = 2,866.80/x
  3. Step 3: Cross multiply
    3,413.55x = 5,120.33 × 2,866.80
  4. Step 4: Simplify right side
    3,413.55x = 14,678,947.71
  5. Step 5: Solve for x
    x = 14,678,947.71/3,413.55
  6. Step 6: Final answer
    x = 4,300.20

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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.