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Finding the Fourth Proportional to 3,584.39, 4,945.84 and 1,990.78

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Solution

The fourth proportional to 3,584.39, 4,945.84 and 1,990.78 is: 2,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.39 : 4,945.84 = 1,990.78 : x
  2. Step 2: Convert to fraction form
    3,584.39/4,945.84 = 1,990.78/x
  3. Step 3: Cross multiply
    3,584.39x = 4,945.84 × 1,990.78
  4. Step 4: Simplify right side
    3,584.39x = 9,846,062.01
  5. Step 5: Solve for x
    x = 9,846,062.01/3,584.39
  6. Step 6: Final answer
    x = 2,746.93

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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.