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Finding the Fourth Proportional to 5,207.31, 7,186.23 and 2,849.46

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Solution

The fourth proportional to 5,207.31, 7,186.23 and 2,849.46 is: 3,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.31 : 7,186.23 = 2,849.46 : x
  2. Step 2: Convert to fraction form
    5,207.31/7,186.23 = 2,849.46/x
  3. Step 3: Cross multiply
    5,207.31x = 7,186.23 × 2,849.46
  4. Step 4: Simplify right side
    5,207.31x = 20,476,874.94
  5. Step 5: Solve for x
    x = 20,476,874.94/5,207.31
  6. Step 6: Final answer
    x = 3,932.33

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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.