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Finding the Fourth Proportional to 3,610.50, 5,413.26 and 1,419.48

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Solution

The fourth proportional to 3,610.50, 5,413.26 and 1,419.48 is: 2,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.50 : 5,413.26 = 1,419.48 : x
  2. Step 2: Convert to fraction form
    3,610.50/5,413.26 = 1,419.48/x
  3. Step 3: Cross multiply
    3,610.50x = 5,413.26 × 1,419.48
  4. Step 4: Simplify right side
    3,610.50x = 7,684,014.30
  5. Step 5: Solve for x
    x = 7,684,014.30/3,610.50
  6. Step 6: Final answer
    x = 2,128.24

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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.