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Finding the Fourth Proportional to 5,917.25, 8,165.81 and 3,264.77

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Solution

The fourth proportional to 5,917.25, 8,165.81 and 3,264.77 is: 4,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,917.25 : 8,165.81 = 3,264.77 : x
  2. Step 2: Convert to fraction form
    5,917.25/8,165.81 = 3,264.77/x
  3. Step 3: Cross multiply
    5,917.25x = 8,165.81 × 3,264.77
  4. Step 4: Simplify right side
    5,917.25x = 26,659,520.09
  5. Step 5: Solve for x
    x = 26,659,520.09/5,917.25
  6. Step 6: Final answer
    x = 4,505.39

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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.