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Finding the Fourth Proportional to 5,097.20, 7,644.96 and 1,634

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Solution

The fourth proportional to 5,097.20, 7,644.96 and 1,634 is: 2,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.20 : 7,644.96 = 1,634 : x
  2. Step 2: Convert to fraction form
    5,097.20/7,644.96 = 1,634/x
  3. Step 3: Cross multiply
    5,097.20x = 7,644.96 × 1,634
  4. Step 4: Simplify right side
    5,097.20x = 12,491,864.64
  5. Step 5: Solve for x
    x = 12,491,864.64/5,097.20
  6. Step 6: Final answer
    x = 2,450.73

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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.