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Finding the Fourth Proportional to 3,627.09, 5,432.22 and 3,094.20

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Solution

The fourth proportional to 3,627.09, 5,432.22 and 3,094.20 is: 4,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.09 : 5,432.22 = 3,094.20 : x
  2. Step 2: Convert to fraction form
    3,627.09/5,432.22 = 3,094.20/x
  3. Step 3: Cross multiply
    3,627.09x = 5,432.22 × 3,094.20
  4. Step 4: Simplify right side
    3,627.09x = 16,808,375.12
  5. Step 5: Solve for x
    x = 16,808,375.12/3,627.09
  6. Step 6: Final answer
    x = 4,634.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.