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Finding the Fourth Proportional to 3,413.80, 4,714.26 and 3,229.72

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Solution

The fourth proportional to 3,413.80, 4,714.26 and 3,229.72 is: 4,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.80 : 4,714.26 = 3,229.72 : x
  2. Step 2: Convert to fraction form
    3,413.80/4,714.26 = 3,229.72/x
  3. Step 3: Cross multiply
    3,413.80x = 4,714.26 × 3,229.72
  4. Step 4: Simplify right side
    3,413.80x = 15,225,739.81
  5. Step 5: Solve for x
    x = 15,225,739.81/3,413.80
  6. Step 6: Final answer
    x = 4,460.06

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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.