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Finding the Fourth Proportional to 5,846.83, 8,057.03 and 4,165.27

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Solution

The fourth proportional to 5,846.83, 8,057.03 and 4,165.27 is: 5,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.83 : 8,057.03 = 4,165.27 : x
  2. Step 2: Convert to fraction form
    5,846.83/8,057.03 = 4,165.27/x
  3. Step 3: Cross multiply
    5,846.83x = 8,057.03 × 4,165.27
  4. Step 4: Simplify right side
    5,846.83x = 33,559,664.38
  5. Step 5: Solve for x
    x = 33,559,664.38/5,846.83
  6. Step 6: Final answer
    x = 5,739.81

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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.