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Finding the Fourth Proportional to 3,893.59, 5,832.82 and 3,457.27

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Solution

The fourth proportional to 3,893.59, 5,832.82 and 3,457.27 is: 5,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.59 : 5,832.82 = 3,457.27 : x
  2. Step 2: Convert to fraction form
    3,893.59/5,832.82 = 3,457.27/x
  3. Step 3: Cross multiply
    3,893.59x = 5,832.82 × 3,457.27
  4. Step 4: Simplify right side
    3,893.59x = 20,165,633.60
  5. Step 5: Solve for x
    x = 20,165,633.60/3,893.59
  6. Step 6: Final answer
    x = 5,179.19

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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.