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Finding the Fourth Proportional to 4,234.25, 5,842 and 2,739.80

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Solution

The fourth proportional to 4,234.25, 5,842 and 2,739.80 is: 3,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.25 : 5,842 = 2,739.80 : x
  2. Step 2: Convert to fraction form
    4,234.25/5,842 = 2,739.80/x
  3. Step 3: Cross multiply
    4,234.25x = 5,842 × 2,739.80
  4. Step 4: Simplify right side
    4,234.25x = 16,005,911.60
  5. Step 5: Solve for x
    x = 16,005,911.60/4,234.25
  6. Step 6: Final answer
    x = 3,780.11

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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.