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Finding the Fourth Proportional to 4,647.38, 6,413.19 and 2,551.37

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Solution

The fourth proportional to 4,647.38, 6,413.19 and 2,551.37 is: 3,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.38 : 6,413.19 = 2,551.37 : x
  2. Step 2: Convert to fraction form
    4,647.38/6,413.19 = 2,551.37/x
  3. Step 3: Cross multiply
    4,647.38x = 6,413.19 × 2,551.37
  4. Step 4: Simplify right side
    4,647.38x = 16,362,420.57
  5. Step 5: Solve for x
    x = 16,362,420.57/4,647.38
  6. Step 6: Final answer
    x = 3,520.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.