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Finding the Fourth Proportional to 3,797.56, 5,213.87 and 3,567.16

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Solution

The fourth proportional to 3,797.56, 5,213.87 and 3,567.16 is: 4,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.56 : 5,213.87 = 3,567.16 : x
  2. Step 2: Convert to fraction form
    3,797.56/5,213.87 = 3,567.16/x
  3. Step 3: Cross multiply
    3,797.56x = 5,213.87 × 3,567.16
  4. Step 4: Simplify right side
    3,797.56x = 18,598,708.51
  5. Step 5: Solve for x
    x = 18,598,708.51/3,797.56
  6. Step 6: Final answer
    x = 4,897.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.