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Finding the Fourth Proportional to 5,162.24, 7,744.08 and 2,084

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Solution

The fourth proportional to 5,162.24, 7,744.08 and 2,084 is: 3,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.24 : 7,744.08 = 2,084 : x
  2. Step 2: Convert to fraction form
    5,162.24/7,744.08 = 2,084/x
  3. Step 3: Cross multiply
    5,162.24x = 7,744.08 × 2,084
  4. Step 4: Simplify right side
    5,162.24x = 16,138,662.72
  5. Step 5: Solve for x
    x = 16,138,662.72/5,162.24
  6. Step 6: Final answer
    x = 3,126.29

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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.