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Finding the Fourth Proportional to 5,072.24, 7,609.40 and 1,952.24

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Solution

The fourth proportional to 5,072.24, 7,609.40 and 1,952.24 is: 2,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.24 : 7,609.40 = 1,952.24 : x
  2. Step 2: Convert to fraction form
    5,072.24/7,609.40 = 1,952.24/x
  3. Step 3: Cross multiply
    5,072.24x = 7,609.40 × 1,952.24
  4. Step 4: Simplify right side
    5,072.24x = 14,855,375.06
  5. Step 5: Solve for x
    x = 14,855,375.06/5,072.24
  6. Step 6: Final answer
    x = 2,928.76

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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.