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Finding the Fourth Proportional to 4,291.44, 6,427.20 and 3,659.88

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Solution

The fourth proportional to 4,291.44, 6,427.20 and 3,659.88 is: 5,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.44 : 6,427.20 = 3,659.88 : x
  2. Step 2: Convert to fraction form
    4,291.44/6,427.20 = 3,659.88/x
  3. Step 3: Cross multiply
    4,291.44x = 6,427.20 × 3,659.88
  4. Step 4: Simplify right side
    4,291.44x = 23,522,780.74
  5. Step 5: Solve for x
    x = 23,522,780.74/4,291.44
  6. Step 6: Final answer
    x = 5,481.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.