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Finding the Fourth Proportional to 3,964.39, 5,946.82 and 1,191.46

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Solution

The fourth proportional to 3,964.39, 5,946.82 and 1,191.46 is: 1,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.39 : 5,946.82 = 1,191.46 : x
  2. Step 2: Convert to fraction form
    3,964.39/5,946.82 = 1,191.46/x
  3. Step 3: Cross multiply
    3,964.39x = 5,946.82 × 1,191.46
  4. Step 4: Simplify right side
    3,964.39x = 7,085,391.46
  5. Step 5: Solve for x
    x = 7,085,391.46/3,964.39
  6. Step 6: Final answer
    x = 1,787.26

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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.