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Finding the Fourth Proportional to 3,611.01, 5,413.23 and 1,301.97

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Solution

The fourth proportional to 3,611.01, 5,413.23 and 1,301.97 is: 1,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.01 : 5,413.23 = 1,301.97 : x
  2. Step 2: Convert to fraction form
    3,611.01/5,413.23 = 1,301.97/x
  3. Step 3: Cross multiply
    3,611.01x = 5,413.23 × 1,301.97
  4. Step 4: Simplify right side
    3,611.01x = 7,047,863.06
  5. Step 5: Solve for x
    x = 7,047,863.06/3,611.01
  6. Step 6: Final answer
    x = 1,951.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.