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Finding the Fourth Proportional to 5,478.22, 7,546.80 and 3,796.66

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Solution

The fourth proportional to 5,478.22, 7,546.80 and 3,796.66 is: 5,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.22 : 7,546.80 = 3,796.66 : x
  2. Step 2: Convert to fraction form
    5,478.22/7,546.80 = 3,796.66/x
  3. Step 3: Cross multiply
    5,478.22x = 7,546.80 × 3,796.66
  4. Step 4: Simplify right side
    5,478.22x = 28,652,633.69
  5. Step 5: Solve for x
    x = 28,652,633.69/5,478.22
  6. Step 6: Final answer
    x = 5,230.28

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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.