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Finding the Fourth Proportional to 3,798.92, 5,242.47 and 2,226.71

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Solution

The fourth proportional to 3,798.92, 5,242.47 and 2,226.71 is: 3,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.92 : 5,242.47 = 2,226.71 : x
  2. Step 2: Convert to fraction form
    3,798.92/5,242.47 = 2,226.71/x
  3. Step 3: Cross multiply
    3,798.92x = 5,242.47 × 2,226.71
  4. Step 4: Simplify right side
    3,798.92x = 11,673,460.37
  5. Step 5: Solve for x
    x = 11,673,460.37/3,798.92
  6. Step 6: Final answer
    x = 3,072.84

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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.