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Finding the Fourth Proportional to 4,754.46, 7,132.17 and 1,634.46

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Solution

The fourth proportional to 4,754.46, 7,132.17 and 1,634.46 is: 2,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.46 : 7,132.17 = 1,634.46 : x
  2. Step 2: Convert to fraction form
    4,754.46/7,132.17 = 1,634.46/x
  3. Step 3: Cross multiply
    4,754.46x = 7,132.17 × 1,634.46
  4. Step 4: Simplify right side
    4,754.46x = 11,657,246.58
  5. Step 5: Solve for x
    x = 11,657,246.58/4,754.46
  6. Step 6: Final answer
    x = 2,451.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.