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Finding the Fourth Proportional to 4,191.96, 6,287.94 and 1,994.16

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Solution

The fourth proportional to 4,191.96, 6,287.94 and 1,994.16 is: 2,991.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.96 : 6,287.94 = 1,994.16 : x
  2. Step 2: Convert to fraction form
    4,191.96/6,287.94 = 1,994.16/x
  3. Step 3: Cross multiply
    4,191.96x = 6,287.94 × 1,994.16
  4. Step 4: Simplify right side
    4,191.96x = 12,539,158.43
  5. Step 5: Solve for x
    x = 12,539,158.43/4,191.96
  6. Step 6: Final answer
    x = 2,991.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.