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Finding the Fourth Proportional to 3,899.07, 5,850.42 and 2,256.99

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Solution

The fourth proportional to 3,899.07, 5,850.42 and 2,256.99 is: 3,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.07 : 5,850.42 = 2,256.99 : x
  2. Step 2: Convert to fraction form
    3,899.07/5,850.42 = 2,256.99/x
  3. Step 3: Cross multiply
    3,899.07x = 5,850.42 × 2,256.99
  4. Step 4: Simplify right side
    3,899.07x = 13,204,339.44
  5. Step 5: Solve for x
    x = 13,204,339.44/3,899.07
  6. Step 6: Final answer
    x = 3,386.54

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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.