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Finding the Fourth Proportional to 4,761.37, 7,128.24 and 3,596.23

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Solution

The fourth proportional to 4,761.37, 7,128.24 and 3,596.23 is: 5,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.37 : 7,128.24 = 3,596.23 : x
  2. Step 2: Convert to fraction form
    4,761.37/7,128.24 = 3,596.23/x
  3. Step 3: Cross multiply
    4,761.37x = 7,128.24 × 3,596.23
  4. Step 4: Simplify right side
    4,761.37x = 25,634,790.54
  5. Step 5: Solve for x
    x = 25,634,790.54/4,761.37
  6. Step 6: Final answer
    x = 5,383.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.