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Finding the Fourth Proportional to 3,353.46, 5,030.22 and 3,197.64

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Solution

The fourth proportional to 3,353.46, 5,030.22 and 3,197.64 is: 4,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.46 : 5,030.22 = 3,197.64 : x
  2. Step 2: Convert to fraction form
    3,353.46/5,030.22 = 3,197.64/x
  3. Step 3: Cross multiply
    3,353.46x = 5,030.22 × 3,197.64
  4. Step 4: Simplify right side
    3,353.46x = 16,084,832.68
  5. Step 5: Solve for x
    x = 16,084,832.68/3,353.46
  6. Step 6: Final answer
    x = 4,796.49

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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.