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Finding the Fourth Proportional to 5,967.72, 8,231.79 and 3,842.46

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Solution

The fourth proportional to 5,967.72, 8,231.79 and 3,842.46 is: 5,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.72 : 8,231.79 = 3,842.46 : x
  2. Step 2: Convert to fraction form
    5,967.72/8,231.79 = 3,842.46/x
  3. Step 3: Cross multiply
    5,967.72x = 8,231.79 × 3,842.46
  4. Step 4: Simplify right side
    5,967.72x = 31,630,323.80
  5. Step 5: Solve for x
    x = 31,630,323.80/5,967.72
  6. Step 6: Final answer
    x = 5,300.24

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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.