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Finding the Fourth Proportional to 3,830.94, 5,743.36 and 3,523.42

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Solution

The fourth proportional to 3,830.94, 5,743.36 and 3,523.42 is: 5,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.94 : 5,743.36 = 3,523.42 : x
  2. Step 2: Convert to fraction form
    3,830.94/5,743.36 = 3,523.42/x
  3. Step 3: Cross multiply
    3,830.94x = 5,743.36 × 3,523.42
  4. Step 4: Simplify right side
    3,830.94x = 20,236,269.49
  5. Step 5: Solve for x
    x = 20,236,269.49/3,830.94
  6. Step 6: Final answer
    x = 5,282.32

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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.