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Finding the Fourth Proportional to 4,842.15, 6,679.69 and 3,164.54

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Solution

The fourth proportional to 4,842.15, 6,679.69 and 3,164.54 is: 4,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.15 : 6,679.69 = 3,164.54 : x
  2. Step 2: Convert to fraction form
    4,842.15/6,679.69 = 3,164.54/x
  3. Step 3: Cross multiply
    4,842.15x = 6,679.69 × 3,164.54
  4. Step 4: Simplify right side
    4,842.15x = 21,138,104.88
  5. Step 5: Solve for x
    x = 21,138,104.88/4,842.15
  6. Step 6: Final answer
    x = 4,365.44

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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.