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Finding the Fourth Proportional to 5,227.70, 7,843.98 and 1,941.94

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Solution

The fourth proportional to 5,227.70, 7,843.98 and 1,941.94 is: 2,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.70 : 7,843.98 = 1,941.94 : x
  2. Step 2: Convert to fraction form
    5,227.70/7,843.98 = 1,941.94/x
  3. Step 3: Cross multiply
    5,227.70x = 7,843.98 × 1,941.94
  4. Step 4: Simplify right side
    5,227.70x = 15,232,489.59
  5. Step 5: Solve for x
    x = 15,232,489.59/5,227.70
  6. Step 6: Final answer
    x = 2,913.80

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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.