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Finding the Fourth Proportional to 4,810.68, 6,640.49 and 2,822.90

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Solution

The fourth proportional to 4,810.68, 6,640.49 and 2,822.90 is: 3,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.68 : 6,640.49 = 2,822.90 : x
  2. Step 2: Convert to fraction form
    4,810.68/6,640.49 = 2,822.90/x
  3. Step 3: Cross multiply
    4,810.68x = 6,640.49 × 2,822.90
  4. Step 4: Simplify right side
    4,810.68x = 18,745,413.08
  5. Step 5: Solve for x
    x = 18,745,413.08/4,810.68
  6. Step 6: Final answer
    x = 3,896.62

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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.