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Finding the Fourth Proportional to 5,193.44, 7,771.58 and 4,845.88

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Solution

The fourth proportional to 5,193.44, 7,771.58 and 4,845.88 is: 7,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.44 : 7,771.58 = 4,845.88 : x
  2. Step 2: Convert to fraction form
    5,193.44/7,771.58 = 4,845.88/x
  3. Step 3: Cross multiply
    5,193.44x = 7,771.58 × 4,845.88
  4. Step 4: Simplify right side
    5,193.44x = 37,660,144.09
  5. Step 5: Solve for x
    x = 37,660,144.09/5,193.44
  6. Step 6: Final answer
    x = 7,251.48

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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.