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Finding the Fourth Proportional to 5,561.82, 7,675.82 and 3,204.45

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Solution

The fourth proportional to 5,561.82, 7,675.82 and 3,204.45 is: 4,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.82 : 7,675.82 = 3,204.45 : x
  2. Step 2: Convert to fraction form
    5,561.82/7,675.82 = 3,204.45/x
  3. Step 3: Cross multiply
    5,561.82x = 7,675.82 × 3,204.45
  4. Step 4: Simplify right side
    5,561.82x = 24,596,765.38
  5. Step 5: Solve for x
    x = 24,596,765.38/5,561.82
  6. Step 6: Final answer
    x = 4,422.43

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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.