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Finding the Fourth Proportional to 4,761.97, 7,143.29 and 1,474.63

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Solution

The fourth proportional to 4,761.97, 7,143.29 and 1,474.63 is: 2,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.97 : 7,143.29 = 1,474.63 : x
  2. Step 2: Convert to fraction form
    4,761.97/7,143.29 = 1,474.63/x
  3. Step 3: Cross multiply
    4,761.97x = 7,143.29 × 1,474.63
  4. Step 4: Simplify right side
    4,761.97x = 10,533,709.73
  5. Step 5: Solve for x
    x = 10,533,709.73/4,761.97
  6. Step 6: Final answer
    x = 2,212.05

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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.