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Finding the Fourth Proportional to 3,964.43, 5,946.95 and 1,190.88

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Solution

The fourth proportional to 3,964.43, 5,946.95 and 1,190.88 is: 1,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.43 : 5,946.95 = 1,190.88 : x
  2. Step 2: Convert to fraction form
    3,964.43/5,946.95 = 1,190.88/x
  3. Step 3: Cross multiply
    3,964.43x = 5,946.95 × 1,190.88
  4. Step 4: Simplify right side
    3,964.43x = 7,082,097.86
  5. Step 5: Solve for x
    x = 7,082,097.86/3,964.43
  6. Step 6: Final answer
    x = 1,786.41

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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.