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Finding the Fourth Proportional to 5,865.36, 8,791.86 and 2,165.22

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Solution

The fourth proportional to 5,865.36, 8,791.86 and 2,165.22 is: 3,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.36 : 8,791.86 = 2,165.22 : x
  2. Step 2: Convert to fraction form
    5,865.36/8,791.86 = 2,165.22/x
  3. Step 3: Cross multiply
    5,865.36x = 8,791.86 × 2,165.22
  4. Step 4: Simplify right side
    5,865.36x = 19,036,311.11
  5. Step 5: Solve for x
    x = 19,036,311.11/5,865.36
  6. Step 6: Final answer
    x = 3,245.55

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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.