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Finding the Fourth Proportional to 4,111.67, 5,676.20 and 2,540.67

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Solution

The fourth proportional to 4,111.67, 5,676.20 and 2,540.67 is: 3,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.67 : 5,676.20 = 2,540.67 : x
  2. Step 2: Convert to fraction form
    4,111.67/5,676.20 = 2,540.67/x
  3. Step 3: Cross multiply
    4,111.67x = 5,676.20 × 2,540.67
  4. Step 4: Simplify right side
    4,111.67x = 14,421,338.35
  5. Step 5: Solve for x
    x = 14,421,338.35/4,111.67
  6. Step 6: Final answer
    x = 3,507.42

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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.