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Finding the Fourth Proportional to 5,596.30, 7,722.29 and 3,238

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Solution

The fourth proportional to 5,596.30, 7,722.29 and 3,238 is: 4,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.30 : 7,722.29 = 3,238 : x
  2. Step 2: Convert to fraction form
    5,596.30/7,722.29 = 3,238/x
  3. Step 3: Cross multiply
    5,596.30x = 7,722.29 × 3,238
  4. Step 4: Simplify right side
    5,596.30x = 25,004,766.93
  5. Step 5: Solve for x
    x = 25,004,766.93/5,596.30
  6. Step 6: Final answer
    x = 4,468.09

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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.