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Finding the Fourth Proportional to 5,955.42, 8,257.75 and 5,757.85

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Solution

The fourth proportional to 5,955.42, 8,257.75 and 5,757.85 is: 7,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,955.42 : 8,257.75 = 5,757.85 : x
  2. Step 2: Convert to fraction form
    5,955.42/8,257.75 = 5,757.85/x
  3. Step 3: Cross multiply
    5,955.42x = 8,257.75 × 5,757.85
  4. Step 4: Simplify right side
    5,955.42x = 47,546,846.93
  5. Step 5: Solve for x
    x = 47,546,846.93/5,955.42
  6. Step 6: Final answer
    x = 7,983.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.