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Finding the Fourth Proportional to 4,093.50, 5,649.03 and 2,230.50

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Solution

The fourth proportional to 4,093.50, 5,649.03 and 2,230.50 is: 3,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.50 : 5,649.03 = 2,230.50 : x
  2. Step 2: Convert to fraction form
    4,093.50/5,649.03 = 2,230.50/x
  3. Step 3: Cross multiply
    4,093.50x = 5,649.03 × 2,230.50
  4. Step 4: Simplify right side
    4,093.50x = 12,600,161.42
  5. Step 5: Solve for x
    x = 12,600,161.42/4,093.50
  6. Step 6: Final answer
    x = 3,078.09

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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.