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Finding the Fourth Proportional to 4,057.25, 5,599.01 and 2,194.25

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Solution

The fourth proportional to 4,057.25, 5,599.01 and 2,194.25 is: 3,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.25 : 5,599.01 = 2,194.25 : x
  2. Step 2: Convert to fraction form
    4,057.25/5,599.01 = 2,194.25/x
  3. Step 3: Cross multiply
    4,057.25x = 5,599.01 × 2,194.25
  4. Step 4: Simplify right side
    4,057.25x = 12,285,627.69
  5. Step 5: Solve for x
    x = 12,285,627.69/4,057.25
  6. Step 6: Final answer
    x = 3,028.07

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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.