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Finding the Fourth Proportional to 3,836.76, 5,754.24 and 1,862.34

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Solution

The fourth proportional to 3,836.76, 5,754.24 and 1,862.34 is: 2,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.76 : 5,754.24 = 1,862.34 : x
  2. Step 2: Convert to fraction form
    3,836.76/5,754.24 = 1,862.34/x
  3. Step 3: Cross multiply
    3,836.76x = 5,754.24 × 1,862.34
  4. Step 4: Simplify right side
    3,836.76x = 10,716,351.32
  5. Step 5: Solve for x
    x = 10,716,351.32/3,836.76
  6. Step 6: Final answer
    x = 2,793.07

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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.