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Finding the Fourth Proportional to 5,133.87, 7,704.81 and 2,361.78

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Solution

The fourth proportional to 5,133.87, 7,704.81 and 2,361.78 is: 3,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.87 : 7,704.81 = 2,361.78 : x
  2. Step 2: Convert to fraction form
    5,133.87/7,704.81 = 2,361.78/x
  3. Step 3: Cross multiply
    5,133.87x = 7,704.81 × 2,361.78
  4. Step 4: Simplify right side
    5,133.87x = 18,197,066.16
  5. Step 5: Solve for x
    x = 18,197,066.16/5,133.87
  6. Step 6: Final answer
    x = 3,544.51

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Why These Related Problems?

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