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Finding the Fourth Proportional to 5,207.82, 7,186.92 and 2,849.96

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Solution

The fourth proportional to 5,207.82, 7,186.92 and 2,849.96 is: 3,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.82 : 7,186.92 = 2,849.96 : x
  2. Step 2: Convert to fraction form
    5,207.82/7,186.92 = 2,849.96/x
  3. Step 3: Cross multiply
    5,207.82x = 7,186.92 × 2,849.96
  4. Step 4: Simplify right side
    5,207.82x = 20,482,434.52
  5. Step 5: Solve for x
    x = 20,482,434.52/5,207.82
  6. Step 6: Final answer
    x = 3,933.02

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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.