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Finding the Fourth Proportional to 3,736.56, 5,156.23 and 2,057.68

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Solution

The fourth proportional to 3,736.56, 5,156.23 and 2,057.68 is: 2,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.56 : 5,156.23 = 2,057.68 : x
  2. Step 2: Convert to fraction form
    3,736.56/5,156.23 = 2,057.68/x
  3. Step 3: Cross multiply
    3,736.56x = 5,156.23 × 2,057.68
  4. Step 4: Simplify right side
    3,736.56x = 10,609,871.35
  5. Step 5: Solve for x
    x = 10,609,871.35/3,736.56
  6. Step 6: Final answer
    x = 2,839.48

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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.