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Finding the Fourth Proportional to 3,964.56, 5,946.62 and 1,191.18

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Solution

The fourth proportional to 3,964.56, 5,946.62 and 1,191.18 is: 1,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.56 : 5,946.62 = 1,191.18 : x
  2. Step 2: Convert to fraction form
    3,964.56/5,946.62 = 1,191.18/x
  3. Step 3: Cross multiply
    3,964.56x = 5,946.62 × 1,191.18
  4. Step 4: Simplify right side
    3,964.56x = 7,083,459.12
  5. Step 5: Solve for x
    x = 7,083,459.12/3,964.56
  6. Step 6: Final answer
    x = 1,786.69

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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.