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Finding the Fourth Proportional to 3,441, 4,761.09 and 2,999.82

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Solution

The fourth proportional to 3,441, 4,761.09 and 2,999.82 is: 4,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441 : 4,761.09 = 2,999.82 : x
  2. Step 2: Convert to fraction form
    3,441/4,761.09 = 2,999.82/x
  3. Step 3: Cross multiply
    3,441x = 4,761.09 × 2,999.82
  4. Step 4: Simplify right side
    3,441x = 14,282,413.00
  5. Step 5: Solve for x
    x = 14,282,413.00/3,441
  6. Step 6: Final answer
    x = 4,150.66

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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.