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Finding the Fourth Proportional to 4,092.66, 5,649.66 and 2,833.47

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Solution

The fourth proportional to 4,092.66, 5,649.66 and 2,833.47 is: 3,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.66 : 5,649.66 = 2,833.47 : x
  2. Step 2: Convert to fraction form
    4,092.66/5,649.66 = 2,833.47/x
  3. Step 3: Cross multiply
    4,092.66x = 5,649.66 × 2,833.47
  4. Step 4: Simplify right side
    4,092.66x = 16,008,142.12
  5. Step 5: Solve for x
    x = 16,008,142.12/4,092.66
  6. Step 6: Final answer
    x = 3,911.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.