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Finding the Fourth Proportional to 4,976.92, 7,450.80 and 3,491.02

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Solution

The fourth proportional to 4,976.92, 7,450.80 and 3,491.02 is: 5,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.92 : 7,450.80 = 3,491.02 : x
  2. Step 2: Convert to fraction form
    4,976.92/7,450.80 = 3,491.02/x
  3. Step 3: Cross multiply
    4,976.92x = 7,450.80 × 3,491.02
  4. Step 4: Simplify right side
    4,976.92x = 26,010,891.82
  5. Step 5: Solve for x
    x = 26,010,891.82/4,976.92
  6. Step 6: Final answer
    x = 5,226.30

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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.