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Finding the Fourth Proportional to 3,676.08, 5,071.31 and 2,183.15

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Solution

The fourth proportional to 3,676.08, 5,071.31 and 2,183.15 is: 3,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.08 : 5,071.31 = 2,183.15 : x
  2. Step 2: Convert to fraction form
    3,676.08/5,071.31 = 2,183.15/x
  3. Step 3: Cross multiply
    3,676.08x = 5,071.31 × 2,183.15
  4. Step 4: Simplify right side
    3,676.08x = 11,071,440.38
  5. Step 5: Solve for x
    x = 11,071,440.38/3,676.08
  6. Step 6: Final answer
    x = 3,011.75

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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.