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Finding the Fourth Proportional to 4,769.42, 7,114.46 and 3,994.43

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Solution

The fourth proportional to 4,769.42, 7,114.46 and 3,994.43 is: 5,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.42 : 7,114.46 = 3,994.43 : x
  2. Step 2: Convert to fraction form
    4,769.42/7,114.46 = 3,994.43/x
  3. Step 3: Cross multiply
    4,769.42x = 7,114.46 × 3,994.43
  4. Step 4: Simplify right side
    4,769.42x = 28,418,156.91
  5. Step 5: Solve for x
    x = 28,418,156.91/4,769.42
  6. Step 6: Final answer
    x = 5,958.42

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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.