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Finding the Fourth Proportional to 6,403.38, 8,830.99 and 4,163.19

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Solution

The fourth proportional to 6,403.38, 8,830.99 and 4,163.19 is: 5,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.38 : 8,830.99 = 4,163.19 : x
  2. Step 2: Convert to fraction form
    6,403.38/8,830.99 = 4,163.19/x
  3. Step 3: Cross multiply
    6,403.38x = 8,830.99 × 4,163.19
  4. Step 4: Simplify right side
    6,403.38x = 36,765,089.26
  5. Step 5: Solve for x
    x = 36,765,089.26/6,403.38
  6. Step 6: Final answer
    x = 5,741.51

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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.