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Finding the Fourth Proportional to 3,965.77, 5,946.90 and 1,191.52

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Solution

The fourth proportional to 3,965.77, 5,946.90 and 1,191.52 is: 1,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.77 : 5,946.90 = 1,191.52 : x
  2. Step 2: Convert to fraction form
    3,965.77/5,946.90 = 1,191.52/x
  3. Step 3: Cross multiply
    3,965.77x = 5,946.90 × 1,191.52
  4. Step 4: Simplify right side
    3,965.77x = 7,085,850.29
  5. Step 5: Solve for x
    x = 7,085,850.29/3,965.77
  6. Step 6: Final answer
    x = 1,786.75

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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.