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Finding the Fourth Proportional to 3,676.91, 5,070.67 and 2,836.27

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Solution

The fourth proportional to 3,676.91, 5,070.67 and 2,836.27 is: 3,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.91 : 5,070.67 = 2,836.27 : x
  2. Step 2: Convert to fraction form
    3,676.91/5,070.67 = 2,836.27/x
  3. Step 3: Cross multiply
    3,676.91x = 5,070.67 × 2,836.27
  4. Step 4: Simplify right side
    3,676.91x = 14,381,788.45
  5. Step 5: Solve for x
    x = 14,381,788.45/3,676.91
  6. Step 6: Final answer
    x = 3,911.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.