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Finding the Fourth Proportional to 5,361.42, 8,033.24 and 3,793.66

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Solution

The fourth proportional to 5,361.42, 8,033.24 and 3,793.66 is: 5,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.42 : 8,033.24 = 3,793.66 : x
  2. Step 2: Convert to fraction form
    5,361.42/8,033.24 = 3,793.66/x
  3. Step 3: Cross multiply
    5,361.42x = 8,033.24 × 3,793.66
  4. Step 4: Simplify right side
    5,361.42x = 30,475,362.71
  5. Step 5: Solve for x
    x = 30,475,362.71/5,361.42
  6. Step 6: Final answer
    x = 5,684.19

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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.