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Finding the Fourth Proportional to 4,046.31, 6,067.95 and 1,413.15

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Solution

The fourth proportional to 4,046.31, 6,067.95 and 1,413.15 is: 2,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.31 : 6,067.95 = 1,413.15 : x
  2. Step 2: Convert to fraction form
    4,046.31/6,067.95 = 1,413.15/x
  3. Step 3: Cross multiply
    4,046.31x = 6,067.95 × 1,413.15
  4. Step 4: Simplify right side
    4,046.31x = 8,574,923.54
  5. Step 5: Solve for x
    x = 8,574,923.54/4,046.31
  6. Step 6: Final answer
    x = 2,119.20

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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.