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Finding the Fourth Proportional to 3,584.86, 4,947.12 and 1,991.54

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Solution

The fourth proportional to 3,584.86, 4,947.12 and 1,991.54 is: 2,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.86 : 4,947.12 = 1,991.54 : x
  2. Step 2: Convert to fraction form
    3,584.86/4,947.12 = 1,991.54/x
  3. Step 3: Cross multiply
    3,584.86x = 4,947.12 × 1,991.54
  4. Step 4: Simplify right side
    3,584.86x = 9,852,387.36
  5. Step 5: Solve for x
    x = 9,852,387.36/3,584.86
  6. Step 6: Final answer
    x = 2,748.33

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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.