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Finding the Fourth Proportional to 4,770.38, 7,150.41 and 1,998.56

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Solution

The fourth proportional to 4,770.38, 7,150.41 and 1,998.56 is: 2,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.38 : 7,150.41 = 1,998.56 : x
  2. Step 2: Convert to fraction form
    4,770.38/7,150.41 = 1,998.56/x
  3. Step 3: Cross multiply
    4,770.38x = 7,150.41 × 1,998.56
  4. Step 4: Simplify right side
    4,770.38x = 14,290,541.29
  5. Step 5: Solve for x
    x = 14,290,541.29/4,770.38
  6. Step 6: Final answer
    x = 2,995.68

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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.