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Finding the Fourth Proportional to 5,013.11, 6,913.89 and 3,757.11

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Solution

The fourth proportional to 5,013.11, 6,913.89 and 3,757.11 is: 5,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013.11 : 6,913.89 = 3,757.11 : x
  2. Step 2: Convert to fraction form
    5,013.11/6,913.89 = 3,757.11/x
  3. Step 3: Cross multiply
    5,013.11x = 6,913.89 × 3,757.11
  4. Step 4: Simplify right side
    5,013.11x = 25,976,245.26
  5. Step 5: Solve for x
    x = 25,976,245.26/5,013.11
  6. Step 6: Final answer
    x = 5,181.67

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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.