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Finding the Fourth Proportional to 5,713.68, 8,572.14 and 2,942.37

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Solution

The fourth proportional to 5,713.68, 8,572.14 and 2,942.37 is: 4,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.68 : 8,572.14 = 2,942.37 : x
  2. Step 2: Convert to fraction form
    5,713.68/8,572.14 = 2,942.37/x
  3. Step 3: Cross multiply
    5,713.68x = 8,572.14 × 2,942.37
  4. Step 4: Simplify right side
    5,713.68x = 25,222,407.57
  5. Step 5: Solve for x
    x = 25,222,407.57/5,713.68
  6. Step 6: Final answer
    x = 4,414.39

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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.