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Finding the Fourth Proportional to 3,899.11, 5,850.29 and 1,709.41

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Solution

The fourth proportional to 3,899.11, 5,850.29 and 1,709.41 is: 2,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.11 : 5,850.29 = 1,709.41 : x
  2. Step 2: Convert to fraction form
    3,899.11/5,850.29 = 1,709.41/x
  3. Step 3: Cross multiply
    3,899.11x = 5,850.29 × 1,709.41
  4. Step 4: Simplify right side
    3,899.11x = 10,000,544.23
  5. Step 5: Solve for x
    x = 10,000,544.23/3,899.11
  6. Step 6: Final answer
    x = 2,564.83

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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.