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Finding the Fourth Proportional to 5,711.50, 8,567.94 and 2,012.97

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Solution

The fourth proportional to 5,711.50, 8,567.94 and 2,012.97 is: 3,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.50 : 8,567.94 = 2,012.97 : x
  2. Step 2: Convert to fraction form
    5,711.50/8,567.94 = 2,012.97/x
  3. Step 3: Cross multiply
    5,711.50x = 8,567.94 × 2,012.97
  4. Step 4: Simplify right side
    5,711.50x = 17,246,953.28
  5. Step 5: Solve for x
    x = 17,246,953.28/5,711.50
  6. Step 6: Final answer
    x = 3,019.69

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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.