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Finding the Fourth Proportional to 4,057.63, 5,599.52 and 2,194.63

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Solution

The fourth proportional to 4,057.63, 5,599.52 and 2,194.63 is: 3,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.63 : 5,599.52 = 2,194.63 : x
  2. Step 2: Convert to fraction form
    4,057.63/5,599.52 = 2,194.63/x
  3. Step 3: Cross multiply
    4,057.63x = 5,599.52 × 2,194.63
  4. Step 4: Simplify right side
    4,057.63x = 12,288,874.58
  5. Step 5: Solve for x
    x = 12,288,874.58/4,057.63
  6. Step 6: Final answer
    x = 3,028.58

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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.