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Finding the Fourth Proportional to 6,400.38, 8,832.51 and 3,605.86

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Solution

The fourth proportional to 6,400.38, 8,832.51 and 3,605.86 is: 4,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.38 : 8,832.51 = 3,605.86 : x
  2. Step 2: Convert to fraction form
    6,400.38/8,832.51 = 3,605.86/x
  3. Step 3: Cross multiply
    6,400.38x = 8,832.51 × 3,605.86
  4. Step 4: Simplify right side
    6,400.38x = 31,848,794.51
  5. Step 5: Solve for x
    x = 31,848,794.51/6,400.38
  6. Step 6: Final answer
    x = 4,976.08

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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.