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Finding the Fourth Proportional to 3,584.61, 4,946.25 and 1,991.13

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Solution

The fourth proportional to 3,584.61, 4,946.25 and 1,991.13 is: 2,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.61 : 4,946.25 = 1,991.13 : x
  2. Step 2: Convert to fraction form
    3,584.61/4,946.25 = 1,991.13/x
  3. Step 3: Cross multiply
    3,584.61x = 4,946.25 × 1,991.13
  4. Step 4: Simplify right side
    3,584.61x = 9,848,639.13
  5. Step 5: Solve for x
    x = 9,848,639.13/3,584.61
  6. Step 6: Final answer
    x = 2,747.48

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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.