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Finding the Fourth Proportional to 4,489.71, 6,201.35 and 3,169.31

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Solution

The fourth proportional to 4,489.71, 6,201.35 and 3,169.31 is: 4,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.71 : 6,201.35 = 3,169.31 : x
  2. Step 2: Convert to fraction form
    4,489.71/6,201.35 = 3,169.31/x
  3. Step 3: Cross multiply
    4,489.71x = 6,201.35 × 3,169.31
  4. Step 4: Simplify right side
    4,489.71x = 19,654,024.00
  5. Step 5: Solve for x
    x = 19,654,024.00/4,489.71
  6. Step 6: Final answer
    x = 4,377.57

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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.