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Finding the Fourth Proportional to 3,783.88, 5,223.12 and 2,213.28

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Solution

The fourth proportional to 3,783.88, 5,223.12 and 2,213.28 is: 3,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.88 : 5,223.12 = 2,213.28 : x
  2. Step 2: Convert to fraction form
    3,783.88/5,223.12 = 2,213.28/x
  3. Step 3: Cross multiply
    3,783.88x = 5,223.12 × 2,213.28
  4. Step 4: Simplify right side
    3,783.88x = 11,560,227.03
  5. Step 5: Solve for x
    x = 11,560,227.03/3,783.88
  6. Step 6: Final answer
    x = 3,055.13

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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.