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Finding the Fourth Proportional to 3,690.78, 5,537.82 and 1,959

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Solution

The fourth proportional to 3,690.78, 5,537.82 and 1,959 is: 2,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.78 : 5,537.82 = 1,959 : x
  2. Step 2: Convert to fraction form
    3,690.78/5,537.82 = 1,959/x
  3. Step 3: Cross multiply
    3,690.78x = 5,537.82 × 1,959
  4. Step 4: Simplify right side
    3,690.78x = 10,848,589.38
  5. Step 5: Solve for x
    x = 10,848,589.38/3,690.78
  6. Step 6: Final answer
    x = 2,939.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.