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Finding the Fourth Proportional to 5,546.82, 7,655.58 and 3,308.84

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Solution

The fourth proportional to 5,546.82, 7,655.58 and 3,308.84 is: 4,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.82 : 7,655.58 = 3,308.84 : x
  2. Step 2: Convert to fraction form
    5,546.82/7,655.58 = 3,308.84/x
  3. Step 3: Cross multiply
    5,546.82x = 7,655.58 × 3,308.84
  4. Step 4: Simplify right side
    5,546.82x = 25,331,089.33
  5. Step 5: Solve for x
    x = 25,331,089.33/5,546.82
  6. Step 6: Final answer
    x = 4,566.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.