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Finding the Fourth Proportional to 4,221.80, 5,899 and 4,221.80

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Solution

The fourth proportional to 4,221.80, 5,899 and 4,221.80 is: 5,899

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.80 : 5,899 = 4,221.80 : x
  2. Step 2: Convert to fraction form
    4,221.80/5,899 = 4,221.80/x
  3. Step 3: Cross multiply
    4,221.80x = 5,899 × 4,221.80
  4. Step 4: Simplify right side
    4,221.80x = 24,904,398.20
  5. Step 5: Solve for x
    x = 24,904,398.20/4,221.80
  6. Step 6: Final answer
    x = 5,899

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.