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Finding the Fourth Proportional to 4,754.46, 7,131.72 and 1,635.18

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Solution

The fourth proportional to 4,754.46, 7,131.72 and 1,635.18 is: 2,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.46 : 7,131.72 = 1,635.18 : x
  2. Step 2: Convert to fraction form
    4,754.46/7,131.72 = 1,635.18/x
  3. Step 3: Cross multiply
    4,754.46x = 7,131.72 × 1,635.18
  4. Step 4: Simplify right side
    4,754.46x = 11,661,645.91
  5. Step 5: Solve for x
    x = 11,661,645.91/4,754.46
  6. Step 6: Final answer
    x = 2,452.78

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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.