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Finding the Fourth Proportional to 3,456.64, 5,163.58 and 3,109.42

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Solution

The fourth proportional to 3,456.64, 5,163.58 and 3,109.42 is: 4,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.64 : 5,163.58 = 3,109.42 : x
  2. Step 2: Convert to fraction form
    3,456.64/5,163.58 = 3,109.42/x
  3. Step 3: Cross multiply
    3,456.64x = 5,163.58 × 3,109.42
  4. Step 4: Simplify right side
    3,456.64x = 16,055,738.92
  5. Step 5: Solve for x
    x = 16,055,738.92/3,456.64
  6. Step 6: Final answer
    x = 4,644.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.