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Finding the Fourth Proportional to 5,198.44, 7,760.60 and 5,016.16

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Solution

The fourth proportional to 5,198.44, 7,760.60 and 5,016.16 is: 7,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.44 : 7,760.60 = 5,016.16 : x
  2. Step 2: Convert to fraction form
    5,198.44/7,760.60 = 5,016.16/x
  3. Step 3: Cross multiply
    5,198.44x = 7,760.60 × 5,016.16
  4. Step 4: Simplify right side
    5,198.44x = 38,928,411.30
  5. Step 5: Solve for x
    x = 38,928,411.30/5,198.44
  6. Step 6: Final answer
    x = 7,488.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.