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Finding the Fourth Proportional to 3,849.73, 5,311.44 and 2,356.09

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Solution

The fourth proportional to 3,849.73, 5,311.44 and 2,356.09 is: 3,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.73 : 5,311.44 = 2,356.09 : x
  2. Step 2: Convert to fraction form
    3,849.73/5,311.44 = 2,356.09/x
  3. Step 3: Cross multiply
    3,849.73x = 5,311.44 × 2,356.09
  4. Step 4: Simplify right side
    3,849.73x = 12,514,230.67
  5. Step 5: Solve for x
    x = 12,514,230.67/3,849.73
  6. Step 6: Final answer
    x = 3,250.68

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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.