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Finding the Fourth Proportional to 5,246.76, 7,863.74 and 2,469.80

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Solution

The fourth proportional to 5,246.76, 7,863.74 and 2,469.80 is: 3,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.76 : 7,863.74 = 2,469.80 : x
  2. Step 2: Convert to fraction form
    5,246.76/7,863.74 = 2,469.80/x
  3. Step 3: Cross multiply
    5,246.76x = 7,863.74 × 2,469.80
  4. Step 4: Simplify right side
    5,246.76x = 19,421,865.05
  5. Step 5: Solve for x
    x = 19,421,865.05/5,246.76
  6. Step 6: Final answer
    x = 3,701.69

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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.