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Finding the Fourth Proportional to 5,132.64, 7,694.01 and 2,361.21

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Solution

The fourth proportional to 5,132.64, 7,694.01 and 2,361.21 is: 3,539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.64 : 7,694.01 = 2,361.21 : x
  2. Step 2: Convert to fraction form
    5,132.64/7,694.01 = 2,361.21/x
  3. Step 3: Cross multiply
    5,132.64x = 7,694.01 × 2,361.21
  4. Step 4: Simplify right side
    5,132.64x = 18,167,173.35
  5. Step 5: Solve for x
    x = 18,167,173.35/5,132.64
  6. Step 6: Final answer
    x = 3,539.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.