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Finding the Fourth Proportional to 3,584.61, 4,946.82 and 2,168.31

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Solution

The fourth proportional to 3,584.61, 4,946.82 and 2,168.31 is: 2,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.61 : 4,946.82 = 2,168.31 : x
  2. Step 2: Convert to fraction form
    3,584.61/4,946.82 = 2,168.31/x
  3. Step 3: Cross multiply
    3,584.61x = 4,946.82 × 2,168.31
  4. Step 4: Simplify right side
    3,584.61x = 10,726,239.27
  5. Step 5: Solve for x
    x = 10,726,239.27/3,584.61
  6. Step 6: Final answer
    x = 2,992.30

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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.