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Finding the Fourth Proportional to 4,231.92, 5,840.06 and 2,343.65

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Solution

The fourth proportional to 4,231.92, 5,840.06 and 2,343.65 is: 3,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.92 : 5,840.06 = 2,343.65 : x
  2. Step 2: Convert to fraction form
    4,231.92/5,840.06 = 2,343.65/x
  3. Step 3: Cross multiply
    4,231.92x = 5,840.06 × 2,343.65
  4. Step 4: Simplify right side
    4,231.92x = 13,687,050.20
  5. Step 5: Solve for x
    x = 13,687,050.20/4,231.92
  6. Step 6: Final answer
    x = 3,234.24

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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.