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Finding the Fourth Proportional to 5,469.38, 7,548.30 and 3,231.98

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Solution

The fourth proportional to 5,469.38, 7,548.30 and 3,231.98 is: 4,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.38 : 7,548.30 = 3,231.98 : x
  2. Step 2: Convert to fraction form
    5,469.38/7,548.30 = 3,231.98/x
  3. Step 3: Cross multiply
    5,469.38x = 7,548.30 × 3,231.98
  4. Step 4: Simplify right side
    5,469.38x = 24,395,954.63
  5. Step 5: Solve for x
    x = 24,395,954.63/5,469.38
  6. Step 6: Final answer
    x = 4,460.46

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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.