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Finding the Fourth Proportional to 4,111.73, 5,674.17 and 2,343.89

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Solution

The fourth proportional to 4,111.73, 5,674.17 and 2,343.89 is: 3,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.73 : 5,674.17 = 2,343.89 : x
  2. Step 2: Convert to fraction form
    4,111.73/5,674.17 = 2,343.89/x
  3. Step 3: Cross multiply
    4,111.73x = 5,674.17 × 2,343.89
  4. Step 4: Simplify right side
    4,111.73x = 13,299,630.32
  5. Step 5: Solve for x
    x = 13,299,630.32/4,111.73
  6. Step 6: Final answer
    x = 3,234.56

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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.