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Finding the Fourth Proportional to 5,893.28, 8,839.92 and 2,771.35

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Solution

The fourth proportional to 5,893.28, 8,839.92 and 2,771.35 is: 4,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.28 : 8,839.92 = 2,771.35 : x
  2. Step 2: Convert to fraction form
    5,893.28/8,839.92 = 2,771.35/x
  3. Step 3: Cross multiply
    5,893.28x = 8,839.92 × 2,771.35
  4. Step 4: Simplify right side
    5,893.28x = 24,498,468.09
  5. Step 5: Solve for x
    x = 24,498,468.09/5,893.28
  6. Step 6: Final answer
    x = 4,157.02

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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.