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Finding the Fourth Proportional to 5,940.68, 8,197.86 and 3,582.28

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Solution

The fourth proportional to 5,940.68, 8,197.86 and 3,582.28 is: 4,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.68 : 8,197.86 = 3,582.28 : x
  2. Step 2: Convert to fraction form
    5,940.68/8,197.86 = 3,582.28/x
  3. Step 3: Cross multiply
    5,940.68x = 8,197.86 × 3,582.28
  4. Step 4: Simplify right side
    5,940.68x = 29,367,029.92
  5. Step 5: Solve for x
    x = 29,367,029.92/5,940.68
  6. Step 6: Final answer
    x = 4,943.38

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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.