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Finding the Fourth Proportional to 5,596.56, 7,722.81 and 3,239.01

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Solution

The fourth proportional to 5,596.56, 7,722.81 and 3,239.01 is: 4,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.56 : 7,722.81 = 3,239.01 : x
  2. Step 2: Convert to fraction form
    5,596.56/7,722.81 = 3,239.01/x
  3. Step 3: Cross multiply
    5,596.56x = 7,722.81 × 3,239.01
  4. Step 4: Simplify right side
    5,596.56x = 25,014,258.82
  5. Step 5: Solve for x
    x = 25,014,258.82/5,596.56
  6. Step 6: Final answer
    x = 4,469.58

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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.