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Finding the Fourth Proportional to 3,563.54, 4,919.06 and 3,189.86

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Solution

The fourth proportional to 3,563.54, 4,919.06 and 3,189.86 is: 4,403.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.54 : 4,919.06 = 3,189.86 : x
  2. Step 2: Convert to fraction form
    3,563.54/4,919.06 = 3,189.86/x
  3. Step 3: Cross multiply
    3,563.54x = 4,919.06 × 3,189.86
  4. Step 4: Simplify right side
    3,563.54x = 15,691,112.73
  5. Step 5: Solve for x
    x = 15,691,112.73/3,563.54
  6. Step 6: Final answer
    x = 4,403.24

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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.