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Finding the Fourth Proportional to 4,194.97, 6,293.81 and 2,003.71

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Solution

The fourth proportional to 4,194.97, 6,293.81 and 2,003.71 is: 3,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.97 : 6,293.81 = 2,003.71 : x
  2. Step 2: Convert to fraction form
    4,194.97/6,293.81 = 2,003.71/x
  3. Step 3: Cross multiply
    4,194.97x = 6,293.81 × 2,003.71
  4. Step 4: Simplify right side
    4,194.97x = 12,610,970.04
  5. Step 5: Solve for x
    x = 12,610,970.04/4,194.97
  6. Step 6: Final answer
    x = 3,006.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.