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Finding the Fourth Proportional to 3,694.42, 5,539.11 and 1,940.42

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Solution

The fourth proportional to 3,694.42, 5,539.11 and 1,940.42 is: 2,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.42 : 5,539.11 = 1,940.42 : x
  2. Step 2: Convert to fraction form
    3,694.42/5,539.11 = 1,940.42/x
  3. Step 3: Cross multiply
    3,694.42x = 5,539.11 × 1,940.42
  4. Step 4: Simplify right side
    3,694.42x = 10,748,199.83
  5. Step 5: Solve for x
    x = 10,748,199.83/3,694.42
  6. Step 6: Final answer
    x = 2,909.31

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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.