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Finding the Fourth Proportional to 5,189.92, 7,164.35 and 3,596.25

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Solution

The fourth proportional to 5,189.92, 7,164.35 and 3,596.25 is: 4,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.92 : 7,164.35 = 3,596.25 : x
  2. Step 2: Convert to fraction form
    5,189.92/7,164.35 = 3,596.25/x
  3. Step 3: Cross multiply
    5,189.92x = 7,164.35 × 3,596.25
  4. Step 4: Simplify right side
    5,189.92x = 25,764,775.76
  5. Step 5: Solve for x
    x = 25,764,775.76/5,189.92
  6. Step 6: Final answer
    x = 4,964.38

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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.