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Finding the Fourth Proportional to 4,231.88, 5,839.84 and 2,343.54

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Solution

The fourth proportional to 4,231.88, 5,839.84 and 2,343.54 is: 3,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.88 : 5,839.84 = 2,343.54 : x
  2. Step 2: Convert to fraction form
    4,231.88/5,839.84 = 2,343.54/x
  3. Step 3: Cross multiply
    4,231.88x = 5,839.84 × 2,343.54
  4. Step 4: Simplify right side
    4,231.88x = 13,685,898.63
  5. Step 5: Solve for x
    x = 13,685,898.63/4,231.88
  6. Step 6: Final answer
    x = 3,234.00

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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.