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Finding the Fourth Proportional to 4,964.21, 7,447.22 and 1,846.37

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Solution

The fourth proportional to 4,964.21, 7,447.22 and 1,846.37 is: 2,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.21 : 7,447.22 = 1,846.37 : x
  2. Step 2: Convert to fraction form
    4,964.21/7,447.22 = 1,846.37/x
  3. Step 3: Cross multiply
    4,964.21x = 7,447.22 × 1,846.37
  4. Step 4: Simplify right side
    4,964.21x = 13,750,323.59
  5. Step 5: Solve for x
    x = 13,750,323.59/4,964.21
  6. Step 6: Final answer
    x = 2,769.89

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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.