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Finding the Fourth Proportional to 4,964.73, 7,447.10 and 2,043.27

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Solution

The fourth proportional to 4,964.73, 7,447.10 and 2,043.27 is: 3,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.73 : 7,447.10 = 2,043.27 : x
  2. Step 2: Convert to fraction form
    4,964.73/7,447.10 = 2,043.27/x
  3. Step 3: Cross multiply
    4,964.73x = 7,447.10 × 2,043.27
  4. Step 4: Simplify right side
    4,964.73x = 15,216,425.80
  5. Step 5: Solve for x
    x = 15,216,425.80/4,964.73
  6. Step 6: Final answer
    x = 3,064.91

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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.