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Finding the Fourth Proportional to 3,584.65, 4,946.66 and 1,991.41

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Solution

The fourth proportional to 3,584.65, 4,946.66 and 1,991.41 is: 2,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.65 : 4,946.66 = 1,991.41 : x
  2. Step 2: Convert to fraction form
    3,584.65/4,946.66 = 1,991.41/x
  3. Step 3: Cross multiply
    3,584.65x = 4,946.66 × 1,991.41
  4. Step 4: Simplify right side
    3,584.65x = 9,850,843.05
  5. Step 5: Solve for x
    x = 9,850,843.05/3,584.65
  6. Step 6: Final answer
    x = 2,748.06

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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.