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Finding the Fourth Proportional to 3,926.98, 5,891.50 and 1,294.88

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Solution

The fourth proportional to 3,926.98, 5,891.50 and 1,294.88 is: 1,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.98 : 5,891.50 = 1,294.88 : x
  2. Step 2: Convert to fraction form
    3,926.98/5,891.50 = 1,294.88/x
  3. Step 3: Cross multiply
    3,926.98x = 5,891.50 × 1,294.88
  4. Step 4: Simplify right side
    3,926.98x = 7,628,785.52
  5. Step 5: Solve for x
    x = 7,628,785.52/3,926.98
  6. Step 6: Final answer
    x = 1,942.66

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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.