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Finding the Fourth Proportional to 5,297.09, 7,945.72 and 2,524.05

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Solution

The fourth proportional to 5,297.09, 7,945.72 and 2,524.05 is: 3,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.09 : 7,945.72 = 2,524.05 : x
  2. Step 2: Convert to fraction form
    5,297.09/7,945.72 = 2,524.05/x
  3. Step 3: Cross multiply
    5,297.09x = 7,945.72 × 2,524.05
  4. Step 4: Simplify right side
    5,297.09x = 20,055,394.57
  5. Step 5: Solve for x
    x = 20,055,394.57/5,297.09
  6. Step 6: Final answer
    x = 3,786.12

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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.