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Finding the Fourth Proportional to 5,324.30, 7,974.30 and 3,137.30

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Solution

The fourth proportional to 5,324.30, 7,974.30 and 3,137.30 is: 4,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.30 : 7,974.30 = 3,137.30 : x
  2. Step 2: Convert to fraction form
    5,324.30/7,974.30 = 3,137.30/x
  3. Step 3: Cross multiply
    5,324.30x = 7,974.30 × 3,137.30
  4. Step 4: Simplify right side
    5,324.30x = 25,017,771.39
  5. Step 5: Solve for x
    x = 25,017,771.39/5,324.30
  6. Step 6: Final answer
    x = 4,698.79

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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.