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Finding the Fourth Proportional to 5,309.28, 7,963.92 and 1,846.56

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Solution

The fourth proportional to 5,309.28, 7,963.92 and 1,846.56 is: 2,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.28 : 7,963.92 = 1,846.56 : x
  2. Step 2: Convert to fraction form
    5,309.28/7,963.92 = 1,846.56/x
  3. Step 3: Cross multiply
    5,309.28x = 7,963.92 × 1,846.56
  4. Step 4: Simplify right side
    5,309.28x = 14,705,856.12
  5. Step 5: Solve for x
    x = 14,705,856.12/5,309.28
  6. Step 6: Final answer
    x = 2,769.84

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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.