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Finding the Fourth Proportional to 5,297.56, 7,941.17 and 2,523.49

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Solution

The fourth proportional to 5,297.56, 7,941.17 and 2,523.49 is: 3,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.56 : 7,941.17 = 2,523.49 : x
  2. Step 2: Convert to fraction form
    5,297.56/7,941.17 = 2,523.49/x
  3. Step 3: Cross multiply
    5,297.56x = 7,941.17 × 2,523.49
  4. Step 4: Simplify right side
    5,297.56x = 20,039,449.54
  5. Step 5: Solve for x
    x = 20,039,449.54/5,297.56
  6. Step 6: Final answer
    x = 3,782.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.