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Finding the Fourth Proportional to 3,994.70, 5,512.68 and 2,226.26

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Solution

The fourth proportional to 3,994.70, 5,512.68 and 2,226.26 is: 3,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.70 : 5,512.68 = 2,226.26 : x
  2. Step 2: Convert to fraction form
    3,994.70/5,512.68 = 2,226.26/x
  3. Step 3: Cross multiply
    3,994.70x = 5,512.68 × 2,226.26
  4. Step 4: Simplify right side
    3,994.70x = 12,272,672.76
  5. Step 5: Solve for x
    x = 12,272,672.76/3,994.70
  6. Step 6: Final answer
    x = 3,072.24

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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.