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Finding the Fourth Proportional to 5,231.28, 7,847.10 and 1,335.72

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Solution

The fourth proportional to 5,231.28, 7,847.10 and 1,335.72 is: 2,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.28 : 7,847.10 = 1,335.72 : x
  2. Step 2: Convert to fraction form
    5,231.28/7,847.10 = 1,335.72/x
  3. Step 3: Cross multiply
    5,231.28x = 7,847.10 × 1,335.72
  4. Step 4: Simplify right side
    5,231.28x = 10,481,528.41
  5. Step 5: Solve for x
    x = 10,481,528.41/5,231.28
  6. Step 6: Final answer
    x = 2,003.63

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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.