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Finding the Fourth Proportional to 5,596.89, 7,723.23 and 3,239.19

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Solution

The fourth proportional to 5,596.89, 7,723.23 and 3,239.19 is: 4,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.89 : 7,723.23 = 3,239.19 : x
  2. Step 2: Convert to fraction form
    5,596.89/7,723.23 = 3,239.19/x
  3. Step 3: Cross multiply
    5,596.89x = 7,723.23 × 3,239.19
  4. Step 4: Simplify right side
    5,596.89x = 25,017,009.38
  5. Step 5: Solve for x
    x = 25,017,009.38/5,596.89
  6. Step 6: Final answer
    x = 4,469.81

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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.