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Finding the Fourth Proportional to 4,057.17, 5,598.90 and 2,194.17

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Solution

The fourth proportional to 4,057.17, 5,598.90 and 2,194.17 is: 3,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.17 : 5,598.90 = 2,194.17 : x
  2. Step 2: Convert to fraction form
    4,057.17/5,598.90 = 2,194.17/x
  3. Step 3: Cross multiply
    4,057.17x = 5,598.90 × 2,194.17
  4. Step 4: Simplify right side
    4,057.17x = 12,284,942.74
  5. Step 5: Solve for x
    x = 12,284,942.74/4,057.17
  6. Step 6: Final answer
    x = 3,027.96

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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.