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Finding the Fourth Proportional to 3,413.48, 5,122.20 and 1,853.48

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Solution

The fourth proportional to 3,413.48, 5,122.20 and 1,853.48 is: 2,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.48 : 5,122.20 = 1,853.48 : x
  2. Step 2: Convert to fraction form
    3,413.48/5,122.20 = 1,853.48/x
  3. Step 3: Cross multiply
    3,413.48x = 5,122.20 × 1,853.48
  4. Step 4: Simplify right side
    3,413.48x = 9,493,895.26
  5. Step 5: Solve for x
    x = 9,493,895.26/3,413.48
  6. Step 6: Final answer
    x = 2,781.30

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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.