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Finding the Fourth Proportional to 3,584.67, 4,946.69 and 1,991.43

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Solution

The fourth proportional to 3,584.67, 4,946.69 and 1,991.43 is: 2,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.67 : 4,946.69 = 1,991.43 : x
  2. Step 2: Convert to fraction form
    3,584.67/4,946.69 = 1,991.43/x
  3. Step 3: Cross multiply
    3,584.67x = 4,946.69 × 1,991.43
  4. Step 4: Simplify right side
    3,584.67x = 9,850,976.91
  5. Step 5: Solve for x
    x = 9,850,976.91/3,584.67
  6. Step 6: Final answer
    x = 2,748.08

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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.