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Finding the Fourth Proportional to 3,829.92, 5,274.24 and 3,654.96

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Solution

The fourth proportional to 3,829.92, 5,274.24 and 3,654.96 is: 5,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.92 : 5,274.24 = 3,654.96 : x
  2. Step 2: Convert to fraction form
    3,829.92/5,274.24 = 3,654.96/x
  3. Step 3: Cross multiply
    3,829.92x = 5,274.24 × 3,654.96
  4. Step 4: Simplify right side
    3,829.92x = 19,277,136.23
  5. Step 5: Solve for x
    x = 19,277,136.23/3,829.92
  6. Step 6: Final answer
    x = 5,033.30

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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.