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Finding the Fourth Proportional to 5,996.92, 8,275.92 and 3,344.50

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Solution

The fourth proportional to 5,996.92, 8,275.92 and 3,344.50 is: 4,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.92 : 8,275.92 = 3,344.50 : x
  2. Step 2: Convert to fraction form
    5,996.92/8,275.92 = 3,344.50/x
  3. Step 3: Cross multiply
    5,996.92x = 8,275.92 × 3,344.50
  4. Step 4: Simplify right side
    5,996.92x = 27,678,798.37
  5. Step 5: Solve for x
    x = 27,678,798.37/5,996.92
  6. Step 6: Final answer
    x = 4,615.50

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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.