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Finding the Fourth Proportional to 5,782.41, 8,676.30 and 1,834.29

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Solution

The fourth proportional to 5,782.41, 8,676.30 and 1,834.29 is: 2,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.41 : 8,676.30 = 1,834.29 : x
  2. Step 2: Convert to fraction form
    5,782.41/8,676.30 = 1,834.29/x
  3. Step 3: Cross multiply
    5,782.41x = 8,676.30 × 1,834.29
  4. Step 4: Simplify right side
    5,782.41x = 15,914,850.33
  5. Step 5: Solve for x
    x = 15,914,850.33/5,782.41
  6. Step 6: Final answer
    x = 2,752.29

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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.