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Finding the Fourth Proportional to 5,629.13, 7,768.20 and 3,145.13

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Solution

The fourth proportional to 5,629.13, 7,768.20 and 3,145.13 is: 4,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.13 : 7,768.20 = 3,145.13 : x
  2. Step 2: Convert to fraction form
    5,629.13/7,768.20 = 3,145.13/x
  3. Step 3: Cross multiply
    5,629.13x = 7,768.20 × 3,145.13
  4. Step 4: Simplify right side
    5,629.13x = 24,431,998.87
  5. Step 5: Solve for x
    x = 24,431,998.87/5,629.13
  6. Step 6: Final answer
    x = 4,340.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.