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Finding the Fourth Proportional to 3,629.56, 5,008.50 and 2,057.80

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Solution

The fourth proportional to 3,629.56, 5,008.50 and 2,057.80 is: 2,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.56 : 5,008.50 = 2,057.80 : x
  2. Step 2: Convert to fraction form
    3,629.56/5,008.50 = 2,057.80/x
  3. Step 3: Cross multiply
    3,629.56x = 5,008.50 × 2,057.80
  4. Step 4: Simplify right side
    3,629.56x = 10,306,491.30
  5. Step 5: Solve for x
    x = 10,306,491.30/3,629.56
  6. Step 6: Final answer
    x = 2,839.60

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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.