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Finding the Fourth Proportional to 3,940.09, 5,445.16 and 3,230.84

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Solution

The fourth proportional to 3,940.09, 5,445.16 and 3,230.84 is: 4,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.09 : 5,445.16 = 3,230.84 : x
  2. Step 2: Convert to fraction form
    3,940.09/5,445.16 = 3,230.84/x
  3. Step 3: Cross multiply
    3,940.09x = 5,445.16 × 3,230.84
  4. Step 4: Simplify right side
    3,940.09x = 17,592,413.51
  5. Step 5: Solve for x
    x = 17,592,413.51/3,940.09
  6. Step 6: Final answer
    x = 4,464.98

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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.