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Finding the Fourth Proportional to 3,866.62, 5,794.76 and 2,013.85

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Solution

The fourth proportional to 3,866.62, 5,794.76 and 2,013.85 is: 3,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.62 : 5,794.76 = 2,013.85 : x
  2. Step 2: Convert to fraction form
    3,866.62/5,794.76 = 2,013.85/x
  3. Step 3: Cross multiply
    3,866.62x = 5,794.76 × 2,013.85
  4. Step 4: Simplify right side
    3,866.62x = 11,669,748.45
  5. Step 5: Solve for x
    x = 11,669,748.45/3,866.62
  6. Step 6: Final answer
    x = 3,018.07

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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.