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Finding the Fourth Proportional to 5,361.78, 8,041.40 and 3,022.82

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Solution

The fourth proportional to 5,361.78, 8,041.40 and 3,022.82 is: 4,533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.78 : 8,041.40 = 3,022.82 : x
  2. Step 2: Convert to fraction form
    5,361.78/8,041.40 = 3,022.82/x
  3. Step 3: Cross multiply
    5,361.78x = 8,041.40 × 3,022.82
  4. Step 4: Simplify right side
    5,361.78x = 24,307,704.75
  5. Step 5: Solve for x
    x = 24,307,704.75/5,361.78
  6. Step 6: Final answer
    x = 4,533.51

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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.