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Finding the Fourth Proportional to 3,866.03, 5,790.89 and 3,206.28

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Solution

The fourth proportional to 3,866.03, 5,790.89 and 3,206.28 is: 4,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.03 : 5,790.89 = 3,206.28 : x
  2. Step 2: Convert to fraction form
    3,866.03/5,790.89 = 3,206.28/x
  3. Step 3: Cross multiply
    3,866.03x = 5,790.89 × 3,206.28
  4. Step 4: Simplify right side
    3,866.03x = 18,567,244.52
  5. Step 5: Solve for x
    x = 18,567,244.52/3,866.03
  6. Step 6: Final answer
    x = 4,802.67

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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.