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Finding the Fourth Proportional to 3,911.16, 5,862 and 2,351.88

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Solution

The fourth proportional to 3,911.16, 5,862 and 2,351.88 is: 3,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.16 : 5,862 = 2,351.88 : x
  2. Step 2: Convert to fraction form
    3,911.16/5,862 = 2,351.88/x
  3. Step 3: Cross multiply
    3,911.16x = 5,862 × 2,351.88
  4. Step 4: Simplify right side
    3,911.16x = 13,786,720.56
  5. Step 5: Solve for x
    x = 13,786,720.56/3,911.16
  6. Step 6: Final answer
    x = 3,524.97

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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.