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Finding the Fourth Proportional to 4,163.64, 5,745.88 and 2,300.64

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Solution

The fourth proportional to 4,163.64, 5,745.88 and 2,300.64 is: 3,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.64 : 5,745.88 = 2,300.64 : x
  2. Step 2: Convert to fraction form
    4,163.64/5,745.88 = 2,300.64/x
  3. Step 3: Cross multiply
    4,163.64x = 5,745.88 × 2,300.64
  4. Step 4: Simplify right side
    4,163.64x = 13,219,201.36
  5. Step 5: Solve for x
    x = 13,219,201.36/4,163.64
  6. Step 6: Final answer
    x = 3,174.91

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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.