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Finding the Fourth Proportional to 5,022.38, 7,531 and 2,942.84

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Solution

The fourth proportional to 5,022.38, 7,531 and 2,942.84 is: 4,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.38 : 7,531 = 2,942.84 : x
  2. Step 2: Convert to fraction form
    5,022.38/7,531 = 2,942.84/x
  3. Step 3: Cross multiply
    5,022.38x = 7,531 × 2,942.84
  4. Step 4: Simplify right side
    5,022.38x = 22,162,528.04
  5. Step 5: Solve for x
    x = 22,162,528.04/5,022.38
  6. Step 6: Final answer
    x = 4,412.75

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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.