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Finding the Fourth Proportional to 3,927.75, 5,891.63 and 1,191.75

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Solution

The fourth proportional to 3,927.75, 5,891.63 and 1,191.75 is: 1,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.75 : 5,891.63 = 1,191.75 : x
  2. Step 2: Convert to fraction form
    3,927.75/5,891.63 = 1,191.75/x
  3. Step 3: Cross multiply
    3,927.75x = 5,891.63 × 1,191.75
  4. Step 4: Simplify right side
    3,927.75x = 7,021,344.09
  5. Step 5: Solve for x
    x = 7,021,344.09/3,927.75
  6. Step 6: Final answer
    x = 1,787.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.