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Finding the Fourth Proportional to 5,949.86, 8,210.87 and 3,297.31

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Solution

The fourth proportional to 5,949.86, 8,210.87 and 3,297.31 is: 4,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.86 : 8,210.87 = 3,297.31 : x
  2. Step 2: Convert to fraction form
    5,949.86/8,210.87 = 3,297.31/x
  3. Step 3: Cross multiply
    5,949.86x = 8,210.87 × 3,297.31
  4. Step 4: Simplify right side
    5,949.86x = 27,073,759.11
  5. Step 5: Solve for x
    x = 27,073,759.11/5,949.86
  6. Step 6: Final answer
    x = 4,550.32

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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.