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Finding the Fourth Proportional to 4,775.54, 7,163.31 and 2,826.38

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Solution

The fourth proportional to 4,775.54, 7,163.31 and 2,826.38 is: 4,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.54 : 7,163.31 = 2,826.38 : x
  2. Step 2: Convert to fraction form
    4,775.54/7,163.31 = 2,826.38/x
  3. Step 3: Cross multiply
    4,775.54x = 7,163.31 × 2,826.38
  4. Step 4: Simplify right side
    4,775.54x = 20,246,200.30
  5. Step 5: Solve for x
    x = 20,246,200.30/4,775.54
  6. Step 6: Final answer
    x = 4,239.57

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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.