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Finding the Fourth Proportional to 5,414.14, 7,464.20 and 4,466.44

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Solution

The fourth proportional to 5,414.14, 7,464.20 and 4,466.44 is: 6,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.14 : 7,464.20 = 4,466.44 : x
  2. Step 2: Convert to fraction form
    5,414.14/7,464.20 = 4,466.44/x
  3. Step 3: Cross multiply
    5,414.14x = 7,464.20 × 4,466.44
  4. Step 4: Simplify right side
    5,414.14x = 33,338,413.57
  5. Step 5: Solve for x
    x = 33,338,413.57/5,414.14
  6. Step 6: Final answer
    x = 6,157.65

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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.