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Finding the Fourth Proportional to 3,958.62, 5,934.33 and 1,648.86

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Solution

The fourth proportional to 3,958.62, 5,934.33 and 1,648.86 is: 2,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.62 : 5,934.33 = 1,648.86 : x
  2. Step 2: Convert to fraction form
    3,958.62/5,934.33 = 1,648.86/x
  3. Step 3: Cross multiply
    3,958.62x = 5,934.33 × 1,648.86
  4. Step 4: Simplify right side
    3,958.62x = 9,784,879.36
  5. Step 5: Solve for x
    x = 9,784,879.36/3,958.62
  6. Step 6: Final answer
    x = 2,471.79

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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.