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Finding the Fourth Proportional to 4,163.94, 5,746.28 and 2,395.44

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Solution

The fourth proportional to 4,163.94, 5,746.28 and 2,395.44 is: 3,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.94 : 5,746.28 = 2,395.44 : x
  2. Step 2: Convert to fraction form
    4,163.94/5,746.28 = 2,395.44/x
  3. Step 3: Cross multiply
    4,163.94x = 5,746.28 × 2,395.44
  4. Step 4: Simplify right side
    4,163.94x = 13,764,856.99
  5. Step 5: Solve for x
    x = 13,764,856.99/4,163.94
  6. Step 6: Final answer
    x = 3,305.73

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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.