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Finding the Fourth Proportional to 5,950.96, 8,940.10 and 4,199.98

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Solution

The fourth proportional to 5,950.96, 8,940.10 and 4,199.98 is: 6,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.96 : 8,940.10 = 4,199.98 : x
  2. Step 2: Convert to fraction form
    5,950.96/8,940.10 = 4,199.98/x
  3. Step 3: Cross multiply
    5,950.96x = 8,940.10 × 4,199.98
  4. Step 4: Simplify right side
    5,950.96x = 37,548,241.20
  5. Step 5: Solve for x
    x = 37,548,241.20/5,950.96
  6. Step 6: Final answer
    x = 6,309.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.