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Finding the Fourth Proportional to 4,137.20, 5,709.16 and 2,274.20

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Solution

The fourth proportional to 4,137.20, 5,709.16 and 2,274.20 is: 3,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.20 : 5,709.16 = 2,274.20 : x
  2. Step 2: Convert to fraction form
    4,137.20/5,709.16 = 2,274.20/x
  3. Step 3: Cross multiply
    4,137.20x = 5,709.16 × 2,274.20
  4. Step 4: Simplify right side
    4,137.20x = 12,983,771.67
  5. Step 5: Solve for x
    x = 12,983,771.67/4,137.20
  6. Step 6: Final answer
    x = 3,138.30

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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.