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Finding the Fourth Proportional to 5,789.21, 7,989.26 and 3,519.77

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Solution

The fourth proportional to 5,789.21, 7,989.26 and 3,519.77 is: 4,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.21 : 7,989.26 = 3,519.77 : x
  2. Step 2: Convert to fraction form
    5,789.21/7,989.26 = 3,519.77/x
  3. Step 3: Cross multiply
    5,789.21x = 7,989.26 × 3,519.77
  4. Step 4: Simplify right side
    5,789.21x = 28,120,357.67
  5. Step 5: Solve for x
    x = 28,120,357.67/5,789.21
  6. Step 6: Final answer
    x = 4,857.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.