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Finding the Fourth Proportional to 6,901.92, 10,348.56 and 3,201.84

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Solution

The fourth proportional to 6,901.92, 10,348.56 and 3,201.84 is: 4,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.92 : 10,348.56 = 3,201.84 : x
  2. Step 2: Convert to fraction form
    6,901.92/10,348.56 = 3,201.84/x
  3. Step 3: Cross multiply
    6,901.92x = 10,348.56 × 3,201.84
  4. Step 4: Simplify right side
    6,901.92x = 33,134,433.35
  5. Step 5: Solve for x
    x = 33,134,433.35/6,901.92
  6. Step 6: Final answer
    x = 4,800.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.