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Finding the Fourth Proportional to 5,504, 7,589.82 and 3,827.30

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Solution

The fourth proportional to 5,504, 7,589.82 and 3,827.30 is: 5,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504 : 7,589.82 = 3,827.30 : x
  2. Step 2: Convert to fraction form
    5,504/7,589.82 = 3,827.30/x
  3. Step 3: Cross multiply
    5,504x = 7,589.82 × 3,827.30
  4. Step 4: Simplify right side
    5,504x = 29,048,518.09
  5. Step 5: Solve for x
    x = 29,048,518.09/5,504
  6. Step 6: Final answer
    x = 5,277.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.