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Finding the Fourth Proportional to 4,773.86, 7,163.34 and 3,595.76

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Solution

The fourth proportional to 4,773.86, 7,163.34 and 3,595.76 is: 5,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.86 : 7,163.34 = 3,595.76 : x
  2. Step 2: Convert to fraction form
    4,773.86/7,163.34 = 3,595.76/x
  3. Step 3: Cross multiply
    4,773.86x = 7,163.34 × 3,595.76
  4. Step 4: Simplify right side
    4,773.86x = 25,757,651.44
  5. Step 5: Solve for x
    x = 25,757,651.44/4,773.86
  6. Step 6: Final answer
    x = 5,395.56

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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.