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Finding the Fourth Proportional to 4,163.83, 5,747.02 and 2,840.69

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Solution

The fourth proportional to 4,163.83, 5,747.02 and 2,840.69 is: 3,920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.83 : 5,747.02 = 2,840.69 : x
  2. Step 2: Convert to fraction form
    4,163.83/5,747.02 = 2,840.69/x
  3. Step 3: Cross multiply
    4,163.83x = 5,747.02 × 2,840.69
  4. Step 4: Simplify right side
    4,163.83x = 16,325,509.51
  5. Step 5: Solve for x
    x = 16,325,509.51/4,163.83
  6. Step 6: Final answer
    x = 3,920.79

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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.