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Finding the Fourth Proportional to 4,933.28, 7,398.81 and 1,422.54

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Solution

The fourth proportional to 4,933.28, 7,398.81 and 1,422.54 is: 2,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.28 : 7,398.81 = 1,422.54 : x
  2. Step 2: Convert to fraction form
    4,933.28/7,398.81 = 1,422.54/x
  3. Step 3: Cross multiply
    4,933.28x = 7,398.81 × 1,422.54
  4. Step 4: Simplify right side
    4,933.28x = 10,525,103.18
  5. Step 5: Solve for x
    x = 10,525,103.18/4,933.28
  6. Step 6: Final answer
    x = 2,133.49

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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.