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Finding the Fourth Proportional to 4,234.88, 5,842.78 and 2,743.94

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Solution

The fourth proportional to 4,234.88, 5,842.78 and 2,743.94 is: 3,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.88 : 5,842.78 = 2,743.94 : x
  2. Step 2: Convert to fraction form
    4,234.88/5,842.78 = 2,743.94/x
  3. Step 3: Cross multiply
    4,234.88x = 5,842.78 × 2,743.94
  4. Step 4: Simplify right side
    4,234.88x = 16,032,237.75
  5. Step 5: Solve for x
    x = 16,032,237.75/4,234.88
  6. Step 6: Final answer
    x = 3,785.76

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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.