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Finding the Fourth Proportional to 5,996.45, 8,274.98 and 3,478.68

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Solution

The fourth proportional to 5,996.45, 8,274.98 and 3,478.68 is: 4,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.45 : 8,274.98 = 3,478.68 : x
  2. Step 2: Convert to fraction form
    5,996.45/8,274.98 = 3,478.68/x
  3. Step 3: Cross multiply
    5,996.45x = 8,274.98 × 3,478.68
  4. Step 4: Simplify right side
    5,996.45x = 28,786,016.12
  5. Step 5: Solve for x
    x = 28,786,016.12/5,996.45
  6. Step 6: Final answer
    x = 4,800.51

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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.