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Finding the Fourth Proportional to 4,754.56, 7,132.31 and 1,634.15

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Solution

The fourth proportional to 4,754.56, 7,132.31 and 1,634.15 is: 2,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.56 : 7,132.31 = 1,634.15 : x
  2. Step 2: Convert to fraction form
    4,754.56/7,132.31 = 1,634.15/x
  3. Step 3: Cross multiply
    4,754.56x = 7,132.31 × 1,634.15
  4. Step 4: Simplify right side
    4,754.56x = 11,655,286.30
  5. Step 5: Solve for x
    x = 11,655,286.30/4,754.56
  6. Step 6: Final answer
    x = 2,451.39

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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.