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Finding the Fourth Proportional to 5,716.82, 8,573.20 and 2,594.20

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Solution

The fourth proportional to 5,716.82, 8,573.20 and 2,594.20 is: 3,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.82 : 8,573.20 = 2,594.20 : x
  2. Step 2: Convert to fraction form
    5,716.82/8,573.20 = 2,594.20/x
  3. Step 3: Cross multiply
    5,716.82x = 8,573.20 × 2,594.20
  4. Step 4: Simplify right side
    5,716.82x = 22,240,595.44
  5. Step 5: Solve for x
    x = 22,240,595.44/5,716.82
  6. Step 6: Final answer
    x = 3,890.38

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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.