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Finding the Fourth Proportional to 5,300.56, 7,949.04 and 2,012.86

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Solution

The fourth proportional to 5,300.56, 7,949.04 and 2,012.86 is: 3,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.56 : 7,949.04 = 2,012.86 : x
  2. Step 2: Convert to fraction form
    5,300.56/7,949.04 = 2,012.86/x
  3. Step 3: Cross multiply
    5,300.56x = 7,949.04 × 2,012.86
  4. Step 4: Simplify right side
    5,300.56x = 16,000,304.65
  5. Step 5: Solve for x
    x = 16,000,304.65/5,300.56
  6. Step 6: Final answer
    x = 3,018.61

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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.