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Finding the Fourth Proportional to 3,584.93, 4,947.19 and 2,013.02

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Solution

The fourth proportional to 3,584.93, 4,947.19 and 2,013.02 is: 2,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.93 : 4,947.19 = 2,013.02 : x
  2. Step 2: Convert to fraction form
    3,584.93/4,947.19 = 2,013.02/x
  3. Step 3: Cross multiply
    3,584.93x = 4,947.19 × 2,013.02
  4. Step 4: Simplify right side
    3,584.93x = 9,958,792.41
  5. Step 5: Solve for x
    x = 9,958,792.41/3,584.93
  6. Step 6: Final answer
    x = 2,777.96

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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.