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Finding the Fourth Proportional to 3,297.51, 4,942.01 and 1,447.07

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Solution

The fourth proportional to 3,297.51, 4,942.01 and 1,447.07 is: 2,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.51 : 4,942.01 = 1,447.07 : x
  2. Step 2: Convert to fraction form
    3,297.51/4,942.01 = 1,447.07/x
  3. Step 3: Cross multiply
    3,297.51x = 4,942.01 × 1,447.07
  4. Step 4: Simplify right side
    3,297.51x = 7,151,413.32
  5. Step 5: Solve for x
    x = 7,151,413.32/3,297.51
  6. Step 6: Final answer
    x = 2,168.73

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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.