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Finding the Fourth Proportional to 2,824.93, 3,899.51 and 2,750.41

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Solution

The fourth proportional to 2,824.93, 3,899.51 and 2,750.41 is: 3,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.93 : 3,899.51 = 2,750.41 : x
  2. Step 2: Convert to fraction form
    2,824.93/3,899.51 = 2,750.41/x
  3. Step 3: Cross multiply
    2,824.93x = 3,899.51 × 2,750.41
  4. Step 4: Simplify right side
    2,824.93x = 10,725,251.30
  5. Step 5: Solve for x
    x = 10,725,251.30/2,824.93
  6. Step 6: Final answer
    x = 3,796.64

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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.