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Finding the Fourth Proportional to 5,745.31, 7,921.57 and 4,469.56

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Solution

The fourth proportional to 5,745.31, 7,921.57 and 4,469.56 is: 6,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.31 : 7,921.57 = 4,469.56 : x
  2. Step 2: Convert to fraction form
    5,745.31/7,921.57 = 4,469.56/x
  3. Step 3: Cross multiply
    5,745.31x = 7,921.57 × 4,469.56
  4. Step 4: Simplify right side
    5,745.31x = 35,405,932.41
  5. Step 5: Solve for x
    x = 35,405,932.41/5,745.31
  6. Step 6: Final answer
    x = 6,162.58

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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.