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Finding the Fourth Proportional to 4,649.32, 6,413.92 and 3,236.37

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Solution

The fourth proportional to 4,649.32, 6,413.92 and 3,236.37 is: 4,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.32 : 6,413.92 = 3,236.37 : x
  2. Step 2: Convert to fraction form
    4,649.32/6,413.92 = 3,236.37/x
  3. Step 3: Cross multiply
    4,649.32x = 6,413.92 × 3,236.37
  4. Step 4: Simplify right side
    4,649.32x = 20,757,818.27
  5. Step 5: Solve for x
    x = 20,757,818.27/4,649.32
  6. Step 6: Final answer
    x = 4,464.70

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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.