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Finding the Fourth Proportional to 4,823.76, 7,229.68 and 2,745.48

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Solution

The fourth proportional to 4,823.76, 7,229.68 and 2,745.48 is: 4,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.76 : 7,229.68 = 2,745.48 : x
  2. Step 2: Convert to fraction form
    4,823.76/7,229.68 = 2,745.48/x
  3. Step 3: Cross multiply
    4,823.76x = 7,229.68 × 2,745.48
  4. Step 4: Simplify right side
    4,823.76x = 19,848,941.85
  5. Step 5: Solve for x
    x = 19,848,941.85/4,823.76
  6. Step 6: Final answer
    x = 4,114.83

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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.