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Finding the Fourth Proportional to 4,093.52, 5,649 and 2,230.48

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Solution

The fourth proportional to 4,093.52, 5,649 and 2,230.48 is: 3,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.52 : 5,649 = 2,230.48 : x
  2. Step 2: Convert to fraction form
    4,093.52/5,649 = 2,230.48/x
  3. Step 3: Cross multiply
    4,093.52x = 5,649 × 2,230.48
  4. Step 4: Simplify right side
    4,093.52x = 12,599,981.52
  5. Step 5: Solve for x
    x = 12,599,981.52/4,093.52
  6. Step 6: Final answer
    x = 3,078.03

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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.