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Finding the Fourth Proportional to 5,052.39, 6,974.55 and 3,488.28

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Solution

The fourth proportional to 5,052.39, 6,974.55 and 3,488.28 is: 4,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.39 : 6,974.55 = 3,488.28 : x
  2. Step 2: Convert to fraction form
    5,052.39/6,974.55 = 3,488.28/x
  3. Step 3: Cross multiply
    5,052.39x = 6,974.55 × 3,488.28
  4. Step 4: Simplify right side
    5,052.39x = 24,329,183.27
  5. Step 5: Solve for x
    x = 24,329,183.27/5,052.39
  6. Step 6: Final answer
    x = 4,815.38

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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.