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Finding the Fourth Proportional to 5,230.28, 7,844.80 and 1,942.49

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Solution

The fourth proportional to 5,230.28, 7,844.80 and 1,942.49 is: 2,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.28 : 7,844.80 = 1,942.49 : x
  2. Step 2: Convert to fraction form
    5,230.28/7,844.80 = 1,942.49/x
  3. Step 3: Cross multiply
    5,230.28x = 7,844.80 × 1,942.49
  4. Step 4: Simplify right side
    5,230.28x = 15,238,406.33
  5. Step 5: Solve for x
    x = 15,238,406.33/5,230.28
  6. Step 6: Final answer
    x = 2,913.50

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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.