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Finding the Fourth Proportional to 3,687.56, 5,087.43 and 2,361.05

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Solution

The fourth proportional to 3,687.56, 5,087.43 and 2,361.05 is: 3,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.56 : 5,087.43 = 2,361.05 : x
  2. Step 2: Convert to fraction form
    3,687.56/5,087.43 = 2,361.05/x
  3. Step 3: Cross multiply
    3,687.56x = 5,087.43 × 2,361.05
  4. Step 4: Simplify right side
    3,687.56x = 12,011,651.16
  5. Step 5: Solve for x
    x = 12,011,651.16/3,687.56
  6. Step 6: Final answer
    x = 3,257.35

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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.