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Finding the Fourth Proportional to 3,994.01, 5,962.31 and 3,171.15

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Solution

The fourth proportional to 3,994.01, 5,962.31 and 3,171.15 is: 4,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.01 : 5,962.31 = 3,171.15 : x
  2. Step 2: Convert to fraction form
    3,994.01/5,962.31 = 3,171.15/x
  3. Step 3: Cross multiply
    3,994.01x = 5,962.31 × 3,171.15
  4. Step 4: Simplify right side
    3,994.01x = 18,907,375.39
  5. Step 5: Solve for x
    x = 18,907,375.39/3,994.01
  6. Step 6: Final answer
    x = 4,733.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.