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Finding the Fourth Proportional to 5,940.95, 8,198.48 and 3,423.50

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Solution

The fourth proportional to 5,940.95, 8,198.48 and 3,423.50 is: 4,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.95 : 8,198.48 = 3,423.50 : x
  2. Step 2: Convert to fraction form
    5,940.95/8,198.48 = 3,423.50/x
  3. Step 3: Cross multiply
    5,940.95x = 8,198.48 × 3,423.50
  4. Step 4: Simplify right side
    5,940.95x = 28,067,514.74
  5. Step 5: Solve for x
    x = 28,067,514.74/5,940.95
  6. Step 6: Final answer
    x = 4,724.42

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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.