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Finding the Fourth Proportional to 3,798.78, 5,243.13 and 2,227.20

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Solution

The fourth proportional to 3,798.78, 5,243.13 and 2,227.20 is: 3,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.78 : 5,243.13 = 2,227.20 : x
  2. Step 2: Convert to fraction form
    3,798.78/5,243.13 = 2,227.20/x
  3. Step 3: Cross multiply
    3,798.78x = 5,243.13 × 2,227.20
  4. Step 4: Simplify right side
    3,798.78x = 11,677,499.14
  5. Step 5: Solve for x
    x = 11,677,499.14/3,798.78
  6. Step 6: Final answer
    x = 3,074.01

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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.