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Finding the Fourth Proportional to 5,752.48, 7,930.56 and 4,757.44

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Solution

The fourth proportional to 5,752.48, 7,930.56 and 4,757.44 is: 6,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.48 : 7,930.56 = 4,757.44 : x
  2. Step 2: Convert to fraction form
    5,752.48/7,930.56 = 4,757.44/x
  3. Step 3: Cross multiply
    5,752.48x = 7,930.56 × 4,757.44
  4. Step 4: Simplify right side
    5,752.48x = 37,729,163.37
  5. Step 5: Solve for x
    x = 37,729,163.37/5,752.48
  6. Step 6: Final answer
    x = 6,558.76

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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.