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Finding the Fourth Proportional to 3,784.41, 5,676.63 and 1,836.90

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Solution

The fourth proportional to 3,784.41, 5,676.63 and 1,836.90 is: 2,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.41 : 5,676.63 = 1,836.90 : x
  2. Step 2: Convert to fraction form
    3,784.41/5,676.63 = 1,836.90/x
  3. Step 3: Cross multiply
    3,784.41x = 5,676.63 × 1,836.90
  4. Step 4: Simplify right side
    3,784.41x = 10,427,401.65
  5. Step 5: Solve for x
    x = 10,427,401.65/3,784.41
  6. Step 6: Final answer
    x = 2,755.36

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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.