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Finding the Fourth Proportional to 3,833.80, 5,280.20 and 3,542.20

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Solution

The fourth proportional to 3,833.80, 5,280.20 and 3,542.20 is: 4,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.80 : 5,280.20 = 3,542.20 : x
  2. Step 2: Convert to fraction form
    3,833.80/5,280.20 = 3,542.20/x
  3. Step 3: Cross multiply
    3,833.80x = 5,280.20 × 3,542.20
  4. Step 4: Simplify right side
    3,833.80x = 18,703,524.44
  5. Step 5: Solve for x
    x = 18,703,524.44/3,833.80
  6. Step 6: Final answer
    x = 4,878.59

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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.