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Finding the Fourth Proportional to 3,609.08, 5,413.71 and 1,012.22

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Solution

The fourth proportional to 3,609.08, 5,413.71 and 1,012.22 is: 1,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.08 : 5,413.71 = 1,012.22 : x
  2. Step 2: Convert to fraction form
    3,609.08/5,413.71 = 1,012.22/x
  3. Step 3: Cross multiply
    3,609.08x = 5,413.71 × 1,012.22
  4. Step 4: Simplify right side
    3,609.08x = 5,479,865.54
  5. Step 5: Solve for x
    x = 5,479,865.54/3,609.08
  6. Step 6: Final answer
    x = 1,518.36

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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.