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Finding the Fourth Proportional to 5,766.70, 8,649.64 and 3,293.77

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Solution

The fourth proportional to 5,766.70, 8,649.64 and 3,293.77 is: 4,940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.70 : 8,649.64 = 3,293.77 : x
  2. Step 2: Convert to fraction form
    5,766.70/8,649.64 = 3,293.77/x
  3. Step 3: Cross multiply
    5,766.70x = 8,649.64 × 3,293.77
  4. Step 4: Simplify right side
    5,766.70x = 28,489,924.74
  5. Step 5: Solve for x
    x = 28,489,924.74/5,766.70
  6. Step 6: Final answer
    x = 4,940.42

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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.