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Finding the Fourth Proportional to 3,798.71, 5,242.26 and 2,226.83

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Solution

The fourth proportional to 3,798.71, 5,242.26 and 2,226.83 is: 3,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.71 : 5,242.26 = 2,226.83 : x
  2. Step 2: Convert to fraction form
    3,798.71/5,242.26 = 2,226.83/x
  3. Step 3: Cross multiply
    3,798.71x = 5,242.26 × 2,226.83
  4. Step 4: Simplify right side
    3,798.71x = 11,673,621.84
  5. Step 5: Solve for x
    x = 11,673,621.84/3,798.71
  6. Step 6: Final answer
    x = 3,073.05

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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.