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Finding the Fourth Proportional to 4,084.94, 5,636.43 and 2,824.04

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Solution

The fourth proportional to 4,084.94, 5,636.43 and 2,824.04 is: 3,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084.94 : 5,636.43 = 2,824.04 : x
  2. Step 2: Convert to fraction form
    4,084.94/5,636.43 = 2,824.04/x
  3. Step 3: Cross multiply
    4,084.94x = 5,636.43 × 2,824.04
  4. Step 4: Simplify right side
    4,084.94x = 15,917,475.60
  5. Step 5: Solve for x
    x = 15,917,475.60/4,084.94
  6. Step 6: Final answer
    x = 3,896.63

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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.