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Finding the Fourth Proportional to 4,952.28, 7,418.34 and 4,138.20

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Solution

The fourth proportional to 4,952.28, 7,418.34 and 4,138.20 is: 6,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.28 : 7,418.34 = 4,138.20 : x
  2. Step 2: Convert to fraction form
    4,952.28/7,418.34 = 4,138.20/x
  3. Step 3: Cross multiply
    4,952.28x = 7,418.34 × 4,138.20
  4. Step 4: Simplify right side
    4,952.28x = 30,698,574.59
  5. Step 5: Solve for x
    x = 30,698,574.59/4,952.28
  6. Step 6: Final answer
    x = 6,198.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.