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Finding the Fourth Proportional to 5,207.61, 7,186.50 and 2,849.73

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Solution

The fourth proportional to 5,207.61, 7,186.50 and 2,849.73 is: 3,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.61 : 7,186.50 = 2,849.73 : x
  2. Step 2: Convert to fraction form
    5,207.61/7,186.50 = 2,849.73/x
  3. Step 3: Cross multiply
    5,207.61x = 7,186.50 × 2,849.73
  4. Step 4: Simplify right side
    5,207.61x = 20,479,584.65
  5. Step 5: Solve for x
    x = 20,479,584.65/5,207.61
  6. Step 6: Final answer
    x = 3,932.63

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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.