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Finding the Fourth Proportional to 5,468.38, 7,546.92 and 3,230.98

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Solution

The fourth proportional to 5,468.38, 7,546.92 and 3,230.98 is: 4,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.38 : 7,546.92 = 3,230.98 : x
  2. Step 2: Convert to fraction form
    5,468.38/7,546.92 = 3,230.98/x
  3. Step 3: Cross multiply
    5,468.38x = 7,546.92 × 3,230.98
  4. Step 4: Simplify right side
    5,468.38x = 24,383,947.58
  5. Step 5: Solve for x
    x = 24,383,947.58/5,468.38
  6. Step 6: Final answer
    x = 4,459.08

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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.