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Finding the Fourth Proportional to 4,596.09, 6,340.73 and 3,199.65

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Solution

The fourth proportional to 4,596.09, 6,340.73 and 3,199.65 is: 4,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.09 : 6,340.73 = 3,199.65 : x
  2. Step 2: Convert to fraction form
    4,596.09/6,340.73 = 3,199.65/x
  3. Step 3: Cross multiply
    4,596.09x = 6,340.73 × 3,199.65
  4. Step 4: Simplify right side
    4,596.09x = 20,288,100.75
  5. Step 5: Solve for x
    x = 20,288,100.75/4,596.09
  6. Step 6: Final answer
    x = 4,414.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.