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Finding the Fourth Proportional to 3,798.28, 5,242.44 and 2,226.70

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Solution

The fourth proportional to 3,798.28, 5,242.44 and 2,226.70 is: 3,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.28 : 5,242.44 = 2,226.70 : x
  2. Step 2: Convert to fraction form
    3,798.28/5,242.44 = 2,226.70/x
  3. Step 3: Cross multiply
    3,798.28x = 5,242.44 × 2,226.70
  4. Step 4: Simplify right side
    3,798.28x = 11,673,341.15
  5. Step 5: Solve for x
    x = 11,673,341.15/3,798.28
  6. Step 6: Final answer
    x = 3,073.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.