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Finding the Fourth Proportional to 3,833.38, 5,758.26 and 2,744.74

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Solution

The fourth proportional to 3,833.38, 5,758.26 and 2,744.74 is: 4,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.38 : 5,758.26 = 2,744.74 : x
  2. Step 2: Convert to fraction form
    3,833.38/5,758.26 = 2,744.74/x
  3. Step 3: Cross multiply
    3,833.38x = 5,758.26 × 2,744.74
  4. Step 4: Simplify right side
    3,833.38x = 15,804,926.55
  5. Step 5: Solve for x
    x = 15,804,926.55/3,833.38
  6. Step 6: Final answer
    x = 4,122.97

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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.