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Finding the Fourth Proportional to 3,859.26, 5,325.76 and 2,090.86

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Solution

The fourth proportional to 3,859.26, 5,325.76 and 2,090.86 is: 2,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.26 : 5,325.76 = 2,090.86 : x
  2. Step 2: Convert to fraction form
    3,859.26/5,325.76 = 2,090.86/x
  3. Step 3: Cross multiply
    3,859.26x = 5,325.76 × 2,090.86
  4. Step 4: Simplify right side
    3,859.26x = 11,135,418.55
  5. Step 5: Solve for x
    x = 11,135,418.55/3,859.26
  6. Step 6: Final answer
    x = 2,885.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.