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Finding the Fourth Proportional to 5,864.88, 8,796.17 and 2,744.06

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Solution

The fourth proportional to 5,864.88, 8,796.17 and 2,744.06 is: 4,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.88 : 8,796.17 = 2,744.06 : x
  2. Step 2: Convert to fraction form
    5,864.88/8,796.17 = 2,744.06/x
  3. Step 3: Cross multiply
    5,864.88x = 8,796.17 × 2,744.06
  4. Step 4: Simplify right side
    5,864.88x = 24,137,160.55
  5. Step 5: Solve for x
    x = 24,137,160.55/5,864.88
  6. Step 6: Final answer
    x = 4,115.54

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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.