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Finding the Fourth Proportional to 5,207.81, 7,186.73 and 2,849.94

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Solution

The fourth proportional to 5,207.81, 7,186.73 and 2,849.94 is: 3,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.81 : 7,186.73 = 2,849.94 : x
  2. Step 2: Convert to fraction form
    5,207.81/7,186.73 = 2,849.94/x
  3. Step 3: Cross multiply
    5,207.81x = 7,186.73 × 2,849.94
  4. Step 4: Simplify right side
    5,207.81x = 20,481,735.05
  5. Step 5: Solve for x
    x = 20,481,735.05/5,207.81
  6. Step 6: Final answer
    x = 3,932.89

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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.