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Finding the Fourth Proportional to 3,965.32, 5,947.74 and 1,191.93

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Solution

The fourth proportional to 3,965.32, 5,947.74 and 1,191.93 is: 1,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.32 : 5,947.74 = 1,191.93 : x
  2. Step 2: Convert to fraction form
    3,965.32/5,947.74 = 1,191.93/x
  3. Step 3: Cross multiply
    3,965.32x = 5,947.74 × 1,191.93
  4. Step 4: Simplify right side
    3,965.32x = 7,089,260.00
  5. Step 5: Solve for x
    x = 7,089,260.00/3,965.32
  6. Step 6: Final answer
    x = 1,787.82

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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.