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Finding the Fourth Proportional to 3,413.34, 4,712.31 and 3,223.26

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Solution

The fourth proportional to 3,413.34, 4,712.31 and 3,223.26 is: 4,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.34 : 4,712.31 = 3,223.26 : x
  2. Step 2: Convert to fraction form
    3,413.34/4,712.31 = 3,223.26/x
  3. Step 3: Cross multiply
    3,413.34x = 4,712.31 × 3,223.26
  4. Step 4: Simplify right side
    3,413.34x = 15,189,000.33
  5. Step 5: Solve for x
    x = 15,189,000.33/3,413.34
  6. Step 6: Final answer
    x = 4,449.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.