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Finding the Fourth Proportional to 4,770.73, 7,154.80 and 1,996.84

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Solution

The fourth proportional to 4,770.73, 7,154.80 and 1,996.84 is: 2,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.73 : 7,154.80 = 1,996.84 : x
  2. Step 2: Convert to fraction form
    4,770.73/7,154.80 = 1,996.84/x
  3. Step 3: Cross multiply
    4,770.73x = 7,154.80 × 1,996.84
  4. Step 4: Simplify right side
    4,770.73x = 14,286,990.83
  5. Step 5: Solve for x
    x = 14,286,990.83/4,770.73
  6. Step 6: Final answer
    x = 2,994.72

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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.