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Finding the Fourth Proportional to 3,934.99, 5,896.81 and 2,269.05

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Solution

The fourth proportional to 3,934.99, 5,896.81 and 2,269.05 is: 3,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.99 : 5,896.81 = 2,269.05 : x
  2. Step 2: Convert to fraction form
    3,934.99/5,896.81 = 2,269.05/x
  3. Step 3: Cross multiply
    3,934.99x = 5,896.81 × 2,269.05
  4. Step 4: Simplify right side
    3,934.99x = 13,380,115.90
  5. Step 5: Solve for x
    x = 13,380,115.90/3,934.99
  6. Step 6: Final answer
    x = 3,400.30

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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.