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Finding the Fourth Proportional to 4,138.92, 5,712.10 and 2,276.20

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Solution

The fourth proportional to 4,138.92, 5,712.10 and 2,276.20 is: 3,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.92 : 5,712.10 = 2,276.20 : x
  2. Step 2: Convert to fraction form
    4,138.92/5,712.10 = 2,276.20/x
  3. Step 3: Cross multiply
    4,138.92x = 5,712.10 × 2,276.20
  4. Step 4: Simplify right side
    4,138.92x = 13,001,882.02
  5. Step 5: Solve for x
    x = 13,001,882.02/4,138.92
  6. Step 6: Final answer
    x = 3,141.37

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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.