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Finding the Fourth Proportional to 3,994.60, 5,512.62 and 2,226.34

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Solution

The fourth proportional to 3,994.60, 5,512.62 and 2,226.34 is: 3,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.60 : 5,512.62 = 2,226.34 : x
  2. Step 2: Convert to fraction form
    3,994.60/5,512.62 = 2,226.34/x
  3. Step 3: Cross multiply
    3,994.60x = 5,512.62 × 2,226.34
  4. Step 4: Simplify right side
    3,994.60x = 12,272,966.41
  5. Step 5: Solve for x
    x = 12,272,966.41/3,994.60
  6. Step 6: Final answer
    x = 3,072.39

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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.