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Finding the Fourth Proportional to 6,028.64, 9,043.08 and 3,961.82

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Solution

The fourth proportional to 6,028.64, 9,043.08 and 3,961.82 is: 5,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028.64 : 9,043.08 = 3,961.82 : x
  2. Step 2: Convert to fraction form
    6,028.64/9,043.08 = 3,961.82/x
  3. Step 3: Cross multiply
    6,028.64x = 9,043.08 × 3,961.82
  4. Step 4: Simplify right side
    6,028.64x = 35,827,055.21
  5. Step 5: Solve for x
    x = 35,827,055.21/6,028.64
  6. Step 6: Final answer
    x = 5,942.81

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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.