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Finding the Fourth Proportional to 4,733.24, 7,099.86 and 1,447.88

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Solution

The fourth proportional to 4,733.24, 7,099.86 and 1,447.88 is: 2,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.24 : 7,099.86 = 1,447.88 : x
  2. Step 2: Convert to fraction form
    4,733.24/7,099.86 = 1,447.88/x
  3. Step 3: Cross multiply
    4,733.24x = 7,099.86 × 1,447.88
  4. Step 4: Simplify right side
    4,733.24x = 10,279,745.30
  5. Step 5: Solve for x
    x = 10,279,745.30/4,733.24
  6. Step 6: Final answer
    x = 2,171.82

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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.