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Finding the Fourth Proportional to 3,169.44, 4,729.50 and 2,842.56

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Solution

The fourth proportional to 3,169.44, 4,729.50 and 2,842.56 is: 4,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.44 : 4,729.50 = 2,842.56 : x
  2. Step 2: Convert to fraction form
    3,169.44/4,729.50 = 2,842.56/x
  3. Step 3: Cross multiply
    3,169.44x = 4,729.50 × 2,842.56
  4. Step 4: Simplify right side
    3,169.44x = 13,443,887.52
  5. Step 5: Solve for x
    x = 13,443,887.52/3,169.44
  6. Step 6: Final answer
    x = 4,241.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.