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Finding the Fourth Proportional to 3,806.56, 5,708.85 and 1,614.16

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Solution

The fourth proportional to 3,806.56, 5,708.85 and 1,614.16 is: 2,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.56 : 5,708.85 = 1,614.16 : x
  2. Step 2: Convert to fraction form
    3,806.56/5,708.85 = 1,614.16/x
  3. Step 3: Cross multiply
    3,806.56x = 5,708.85 × 1,614.16
  4. Step 4: Simplify right side
    3,806.56x = 9,214,997.32
  5. Step 5: Solve for x
    x = 9,214,997.32/3,806.56
  6. Step 6: Final answer
    x = 2,420.82

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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.