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Finding the Fourth Proportional to 3,627.52, 5,441.24 and 891.52

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Solution

The fourth proportional to 3,627.52, 5,441.24 and 891.52 is: 1,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.52 : 5,441.24 = 891.52 : x
  2. Step 2: Convert to fraction form
    3,627.52/5,441.24 = 891.52/x
  3. Step 3: Cross multiply
    3,627.52x = 5,441.24 × 891.52
  4. Step 4: Simplify right side
    3,627.52x = 4,850,974.28
  5. Step 5: Solve for x
    x = 4,850,974.28/3,627.52
  6. Step 6: Final answer
    x = 1,337.27

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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.