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Finding the Fourth Proportional to 4,093.67, 5,649.23 and 2,325.23

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Solution

The fourth proportional to 4,093.67, 5,649.23 and 2,325.23 is: 3,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.67 : 5,649.23 = 2,325.23 : x
  2. Step 2: Convert to fraction form
    4,093.67/5,649.23 = 2,325.23/x
  3. Step 3: Cross multiply
    4,093.67x = 5,649.23 × 2,325.23
  4. Step 4: Simplify right side
    4,093.67x = 13,135,761.57
  5. Step 5: Solve for x
    x = 13,135,761.57/4,093.67
  6. Step 6: Final answer
    x = 3,208.80

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Half scale
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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.