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Finding the Fourth Proportional to 4,342.67, 5,992.86 and 2,353.22

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Solution

The fourth proportional to 4,342.67, 5,992.86 and 2,353.22 is: 3,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.67 : 5,992.86 = 2,353.22 : x
  2. Step 2: Convert to fraction form
    4,342.67/5,992.86 = 2,353.22/x
  3. Step 3: Cross multiply
    4,342.67x = 5,992.86 × 2,353.22
  4. Step 4: Simplify right side
    4,342.67x = 14,102,519.34
  5. Step 5: Solve for x
    x = 14,102,519.34/4,342.67
  6. Step 6: Final answer
    x = 3,247.43

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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.