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Finding the Fourth Proportional to 3,941.57, 5,910.64 and 2,092.28

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Solution

The fourth proportional to 3,941.57, 5,910.64 and 2,092.28 is: 3,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.57 : 5,910.64 = 2,092.28 : x
  2. Step 2: Convert to fraction form
    3,941.57/5,910.64 = 2,092.28/x
  3. Step 3: Cross multiply
    3,941.57x = 5,910.64 × 2,092.28
  4. Step 4: Simplify right side
    3,941.57x = 12,366,679.08
  5. Step 5: Solve for x
    x = 12,366,679.08/3,941.57
  6. Step 6: Final answer
    x = 3,137.50

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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.