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Finding the Fourth Proportional to 3,866.94, 5,336.38 and 2,098.54

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Solution

The fourth proportional to 3,866.94, 5,336.38 and 2,098.54 is: 2,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.94 : 5,336.38 = 2,098.54 : x
  2. Step 2: Convert to fraction form
    3,866.94/5,336.38 = 2,098.54/x
  3. Step 3: Cross multiply
    3,866.94x = 5,336.38 × 2,098.54
  4. Step 4: Simplify right side
    3,866.94x = 11,198,616.18
  5. Step 5: Solve for x
    x = 11,198,616.18/3,866.94
  6. Step 6: Final answer
    x = 2,895.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.