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Finding the Fourth Proportional to 3,697.20, 5,537.70 and 3,211.20

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Solution

The fourth proportional to 3,697.20, 5,537.70 and 3,211.20 is: 4,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.20 : 5,537.70 = 3,211.20 : x
  2. Step 2: Convert to fraction form
    3,697.20/5,537.70 = 3,211.20/x
  3. Step 3: Cross multiply
    3,697.20x = 5,537.70 × 3,211.20
  4. Step 4: Simplify right side
    3,697.20x = 17,782,662.24
  5. Step 5: Solve for x
    x = 17,782,662.24/3,697.20
  6. Step 6: Final answer
    x = 4,809.76

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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.