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Finding the Fourth Proportional to 3,806.52, 5,709.72 and 2,052.34

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Solution

The fourth proportional to 3,806.52, 5,709.72 and 2,052.34 is: 3,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.52 : 5,709.72 = 2,052.34 : x
  2. Step 2: Convert to fraction form
    3,806.52/5,709.72 = 2,052.34/x
  3. Step 3: Cross multiply
    3,806.52x = 5,709.72 × 2,052.34
  4. Step 4: Simplify right side
    3,806.52x = 11,718,286.74
  5. Step 5: Solve for x
    x = 11,718,286.74/3,806.52
  6. Step 6: Final answer
    x = 3,078.48

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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.