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Finding the Fourth Proportional to 4,234.39, 5,842.19 and 2,739.94

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Solution

The fourth proportional to 4,234.39, 5,842.19 and 2,739.94 is: 3,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.39 : 5,842.19 = 2,739.94 : x
  2. Step 2: Convert to fraction form
    4,234.39/5,842.19 = 2,739.94/x
  3. Step 3: Cross multiply
    4,234.39x = 5,842.19 × 2,739.94
  4. Step 4: Simplify right side
    4,234.39x = 16,007,250.07
  5. Step 5: Solve for x
    x = 16,007,250.07/4,234.39
  6. Step 6: Final answer
    x = 3,780.30

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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.