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Finding the Fourth Proportional to 3,965.29, 5,947.86 and 1,191.98

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Solution

The fourth proportional to 3,965.29, 5,947.86 and 1,191.98 is: 1,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.29 : 5,947.86 = 1,191.98 : x
  2. Step 2: Convert to fraction form
    3,965.29/5,947.86 = 1,191.98/x
  3. Step 3: Cross multiply
    3,965.29x = 5,947.86 × 1,191.98
  4. Step 4: Simplify right side
    3,965.29x = 7,089,730.16
  5. Step 5: Solve for x
    x = 7,089,730.16/3,965.29
  6. Step 6: Final answer
    x = 1,787.95

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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.