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Finding the Fourth Proportional to 5,471.28, 7,549.56 and 3,582

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Solution

The fourth proportional to 5,471.28, 7,549.56 and 3,582 is: 4,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.28 : 7,549.56 = 3,582 : x
  2. Step 2: Convert to fraction form
    5,471.28/7,549.56 = 3,582/x
  3. Step 3: Cross multiply
    5,471.28x = 7,549.56 × 3,582
  4. Step 4: Simplify right side
    5,471.28x = 27,042,523.92
  5. Step 5: Solve for x
    x = 27,042,523.92/5,471.28
  6. Step 6: Final answer
    x = 4,942.63

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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.