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Finding the Fourth Proportional to 3,421.98, 5,129.73 and 1,229.58

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Solution

The fourth proportional to 3,421.98, 5,129.73 and 1,229.58 is: 1,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.98 : 5,129.73 = 1,229.58 : x
  2. Step 2: Convert to fraction form
    3,421.98/5,129.73 = 1,229.58/x
  3. Step 3: Cross multiply
    3,421.98x = 5,129.73 × 1,229.58
  4. Step 4: Simplify right side
    3,421.98x = 6,307,413.41
  5. Step 5: Solve for x
    x = 6,307,413.41/3,421.98
  6. Step 6: Final answer
    x = 1,843.21

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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.