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Finding the Fourth Proportional to 5,581.88, 7,704.38 and 3,223.68

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Solution

The fourth proportional to 5,581.88, 7,704.38 and 3,223.68 is: 4,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.88 : 7,704.38 = 3,223.68 : x
  2. Step 2: Convert to fraction form
    5,581.88/7,704.38 = 3,223.68/x
  3. Step 3: Cross multiply
    5,581.88x = 7,704.38 × 3,223.68
  4. Step 4: Simplify right side
    5,581.88x = 24,836,455.72
  5. Step 5: Solve for x
    x = 24,836,455.72/5,581.88
  6. Step 6: Final answer
    x = 4,449.48

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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.