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Finding the Fourth Proportional to 3,806.88, 5,706 and 1,614.24

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Solution

The fourth proportional to 3,806.88, 5,706 and 1,614.24 is: 2,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.88 : 5,706 = 1,614.24 : x
  2. Step 2: Convert to fraction form
    3,806.88/5,706 = 1,614.24/x
  3. Step 3: Cross multiply
    3,806.88x = 5,706 × 1,614.24
  4. Step 4: Simplify right side
    3,806.88x = 9,210,853.44
  5. Step 5: Solve for x
    x = 9,210,853.44/3,806.88
  6. Step 6: Final answer
    x = 2,419.53

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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.