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Finding the Fourth Proportional to 4,234.57, 5,843.74 and 2,346.19

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Solution

The fourth proportional to 4,234.57, 5,843.74 and 2,346.19 is: 3,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.57 : 5,843.74 = 2,346.19 : x
  2. Step 2: Convert to fraction form
    4,234.57/5,843.74 = 2,346.19/x
  3. Step 3: Cross multiply
    4,234.57x = 5,843.74 × 2,346.19
  4. Step 4: Simplify right side
    4,234.57x = 13,710,517.05
  5. Step 5: Solve for x
    x = 13,710,517.05/4,234.57
  6. Step 6: Final answer
    x = 3,237.76

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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.