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Finding the Fourth Proportional to 5,814.92, 8,021.77 and 3,455.39

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Solution

The fourth proportional to 5,814.92, 8,021.77 and 3,455.39 is: 4,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.92 : 8,021.77 = 3,455.39 : x
  2. Step 2: Convert to fraction form
    5,814.92/8,021.77 = 3,455.39/x
  3. Step 3: Cross multiply
    5,814.92x = 8,021.77 × 3,455.39
  4. Step 4: Simplify right side
    5,814.92x = 27,718,286.45
  5. Step 5: Solve for x
    x = 27,718,286.45/5,814.92
  6. Step 6: Final answer
    x = 4,766.76

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Why These Related Problems?

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