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Finding the Fourth Proportional to 3,798.44, 5,243.10 and 2,226.50

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Solution

The fourth proportional to 3,798.44, 5,243.10 and 2,226.50 is: 3,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.44 : 5,243.10 = 2,226.50 : x
  2. Step 2: Convert to fraction form
    3,798.44/5,243.10 = 2,226.50/x
  3. Step 3: Cross multiply
    3,798.44x = 5,243.10 × 2,226.50
  4. Step 4: Simplify right side
    3,798.44x = 11,673,762.15
  5. Step 5: Solve for x
    x = 11,673,762.15/3,798.44
  6. Step 6: Final answer
    x = 3,073.30

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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.