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Finding the Fourth Proportional to 3,806.56, 5,709.84 and 3,041.92

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Solution

The fourth proportional to 3,806.56, 5,709.84 and 3,041.92 is: 4,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.56 : 5,709.84 = 3,041.92 : x
  2. Step 2: Convert to fraction form
    3,806.56/5,709.84 = 3,041.92/x
  3. Step 3: Cross multiply
    3,806.56x = 5,709.84 × 3,041.92
  4. Step 4: Simplify right side
    3,806.56x = 17,368,876.49
  5. Step 5: Solve for x
    x = 17,368,876.49/3,806.56
  6. Step 6: Final answer
    x = 4,562.88

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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.