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Finding the Fourth Proportional to 4,262.75, 5,882.69 and 2,399.75

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Solution

The fourth proportional to 4,262.75, 5,882.69 and 2,399.75 is: 3,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.75 : 5,882.69 = 2,399.75 : x
  2. Step 2: Convert to fraction form
    4,262.75/5,882.69 = 2,399.75/x
  3. Step 3: Cross multiply
    4,262.75x = 5,882.69 × 2,399.75
  4. Step 4: Simplify right side
    4,262.75x = 14,116,985.33
  5. Step 5: Solve for x
    x = 14,116,985.33/4,262.75
  6. Step 6: Final answer
    x = 3,311.71

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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.