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Finding the Fourth Proportional to 3,784.73, 5,220.25 and 2,213.12

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Solution

The fourth proportional to 3,784.73, 5,220.25 and 2,213.12 is: 3,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.73 : 5,220.25 = 2,213.12 : x
  2. Step 2: Convert to fraction form
    3,784.73/5,220.25 = 2,213.12/x
  3. Step 3: Cross multiply
    3,784.73x = 5,220.25 × 2,213.12
  4. Step 4: Simplify right side
    3,784.73x = 11,553,047.20
  5. Step 5: Solve for x
    x = 11,553,047.20/3,784.73
  6. Step 6: Final answer
    x = 3,052.55

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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.