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Finding the Fourth Proportional to 5,546.67, 7,654.26 and 3,188.76

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Solution

The fourth proportional to 5,546.67, 7,654.26 and 3,188.76 is: 4,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.67 : 7,654.26 = 3,188.76 : x
  2. Step 2: Convert to fraction form
    5,546.67/7,654.26 = 3,188.76/x
  3. Step 3: Cross multiply
    5,546.67x = 7,654.26 × 3,188.76
  4. Step 4: Simplify right side
    5,546.67x = 24,407,598.12
  5. Step 5: Solve for x
    x = 24,407,598.12/5,546.67
  6. Step 6: Final answer
    x = 4,400.41

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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.