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Finding the Fourth Proportional to 3,866.00, 5,789.68 and 2,475.09

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Solution

The fourth proportional to 3,866.00, 5,789.68 and 2,475.09 is: 3,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.00 : 5,789.68 = 2,475.09 : x
  2. Step 2: Convert to fraction form
    3,866.00/5,789.68 = 2,475.09/x
  3. Step 3: Cross multiply
    3,866.00x = 5,789.68 × 2,475.09
  4. Step 4: Simplify right side
    3,866.00x = 14,329,972.88
  5. Step 5: Solve for x
    x = 14,329,972.88/3,866.00
  6. Step 6: Final answer
    x = 3,706.67

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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.