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Finding the Fourth Proportional to 3,911.01, 5,866.61 and 1,829.88

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Solution

The fourth proportional to 3,911.01, 5,866.61 and 1,829.88 is: 2,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.01 : 5,866.61 = 1,829.88 : x
  2. Step 2: Convert to fraction form
    3,911.01/5,866.61 = 1,829.88/x
  3. Step 3: Cross multiply
    3,911.01x = 5,866.61 × 1,829.88
  4. Step 4: Simplify right side
    3,911.01x = 10,735,183.16
  5. Step 5: Solve for x
    x = 10,735,183.16/3,911.01
  6. Step 6: Final answer
    x = 2,744.86

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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.